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Finding the Fourth Proportional to 9,938.43, 14,875.19 and 7,305.24

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Solution

The fourth proportional to 9,938.43, 14,875.19 and 7,305.24 is: 10,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.43 : 14,875.19 = 7,305.24 : x
  2. Step 2: Convert to fraction form
    9,938.43/14,875.19 = 7,305.24/x
  3. Step 3: Cross multiply
    9,938.43x = 14,875.19 × 7,305.24
  4. Step 4: Simplify right side
    9,938.43x = 108,666,833.00
  5. Step 5: Solve for x
    x = 108,666,833.00/9,938.43
  6. Step 6: Final answer
    x = 10,934.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.