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Finding the Fourth Proportional to 10,732.86, 14,775.54 and 9,234.72

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Solution

The fourth proportional to 10,732.86, 14,775.54 and 9,234.72 is: 12,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.86 : 14,775.54 = 9,234.72 : x
  2. Step 2: Convert to fraction form
    10,732.86/14,775.54 = 9,234.72/x
  3. Step 3: Cross multiply
    10,732.86x = 14,775.54 × 9,234.72
  4. Step 4: Simplify right side
    10,732.86x = 136,447,974.75
  5. Step 5: Solve for x
    x = 136,447,974.75/10,732.86
  6. Step 6: Final answer
    x = 12,713.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.