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Finding the Fourth Proportional to 9,292.04, 12,822.63 and 5,100.38

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Solution

The fourth proportional to 9,292.04, 12,822.63 and 5,100.38 is: 7,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.04 : 12,822.63 = 5,100.38 : x
  2. Step 2: Convert to fraction form
    9,292.04/12,822.63 = 5,100.38/x
  3. Step 3: Cross multiply
    9,292.04x = 12,822.63 × 5,100.38
  4. Step 4: Simplify right side
    9,292.04x = 65,400,285.60
  5. Step 5: Solve for x
    x = 65,400,285.60/9,292.04
  6. Step 6: Final answer
    x = 7,038.31

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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.