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Finding the Fourth Proportional to 10,089.12, 15,138 and 9,229.44

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Solution

The fourth proportional to 10,089.12, 15,138 and 9,229.44 is: 13,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.12 : 15,138 = 9,229.44 : x
  2. Step 2: Convert to fraction form
    10,089.12/15,138 = 9,229.44/x
  3. Step 3: Cross multiply
    10,089.12x = 15,138 × 9,229.44
  4. Step 4: Simplify right side
    10,089.12x = 139,715,262.72
  5. Step 5: Solve for x
    x = 139,715,262.72/10,089.12
  6. Step 6: Final answer
    x = 13,848.11

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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.