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Finding the Fourth Proportional to 10,097.34, 15,122.61 and 9,747.15

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Solution

The fourth proportional to 10,097.34, 15,122.61 and 9,747.15 is: 14,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.34 : 15,122.61 = 9,747.15 : x
  2. Step 2: Convert to fraction form
    10,097.34/15,122.61 = 9,747.15/x
  3. Step 3: Cross multiply
    10,097.34x = 15,122.61 × 9,747.15
  4. Step 4: Simplify right side
    10,097.34x = 147,402,348.06
  5. Step 5: Solve for x
    x = 147,402,348.06/10,097.34
  6. Step 6: Final answer
    x = 14,598.14

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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.