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Finding the Fourth Proportional to 10,514.97, 15,725.97 and 9,353.13

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Solution

The fourth proportional to 10,514.97, 15,725.97 and 9,353.13 is: 13,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.97 : 15,725.97 = 9,353.13 : x
  2. Step 2: Convert to fraction form
    10,514.97/15,725.97 = 9,353.13/x
  3. Step 3: Cross multiply
    10,514.97x = 15,725.97 × 9,353.13
  4. Step 4: Simplify right side
    10,514.97x = 147,087,041.79
  5. Step 5: Solve for x
    x = 147,087,041.79/10,514.97
  6. Step 6: Final answer
    x = 13,988.35

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