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Finding the Fourth Proportional to 10,086.53, 15,197.02 and 9,289.49

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Solution

The fourth proportional to 10,086.53, 15,197.02 and 9,289.49 is: 13,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.53 : 15,197.02 = 9,289.49 : x
  2. Step 2: Convert to fraction form
    10,086.53/15,197.02 = 9,289.49/x
  3. Step 3: Cross multiply
    10,086.53x = 15,197.02 × 9,289.49
  4. Step 4: Simplify right side
    10,086.53x = 141,172,466.11
  5. Step 5: Solve for x
    x = 141,172,466.11/10,086.53
  6. Step 6: Final answer
    x = 13,996.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.