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Finding the Fourth Proportional to 9,300,892.94, 12,835,510.35 and 5,114,360.38

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Solution

The fourth proportional to 9,300,892.94, 12,835,510.35 and 5,114,360.38 is: 7,057,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300,892.94 : 12,835,510.35 = 5,114,360.38 : x
  2. Step 2: Convert to fraction form
    9,300,892.94/12,835,510.35 = 5,114,360.38/x
  3. Step 3: Cross multiply
    9,300,892.94x = 12,835,510.35 × 5,114,360.38
  4. Step 4: Simplify right side
    9,300,892.94x = 65,645,425,591,119.93
  5. Step 5: Solve for x
    x = 65,645,425,591,119.93/9,300,892.94
  6. Step 6: Final answer
    x = 7,057,970.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.