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Finding the Fourth Proportional to 10,089.14, 15,138.02 and 9,229.46

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Solution

The fourth proportional to 10,089.14, 15,138.02 and 9,229.46 is: 13,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.14 : 15,138.02 = 9,229.46 : x
  2. Step 2: Convert to fraction form
    10,089.14/15,138.02 = 9,229.46/x
  3. Step 3: Cross multiply
    10,089.14x = 15,138.02 × 9,229.46
  4. Step 4: Simplify right side
    10,089.14x = 139,715,750.07
  5. Step 5: Solve for x
    x = 139,715,750.07/10,089.14
  6. Step 6: Final answer
    x = 13,848.13

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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.