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Finding the Fourth Proportional to 9,300.78, 12,835.02 and 5,109

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Solution

The fourth proportional to 9,300.78, 12,835.02 and 5,109 is: 7,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.78 : 12,835.02 = 5,109 : x
  2. Step 2: Convert to fraction form
    9,300.78/12,835.02 = 5,109/x
  3. Step 3: Cross multiply
    9,300.78x = 12,835.02 × 5,109
  4. Step 4: Simplify right side
    9,300.78x = 65,574,117.18
  5. Step 5: Solve for x
    x = 65,574,117.18/9,300.78
  6. Step 6: Final answer
    x = 7,050.39

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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.