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Finding the Fourth Proportional to 9,925.86, 14,869.32 and 5,757.11

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Solution

The fourth proportional to 9,925.86, 14,869.32 and 5,757.11 is: 8,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.86 : 14,869.32 = 5,757.11 : x
  2. Step 2: Convert to fraction form
    9,925.86/14,869.32 = 5,757.11/x
  3. Step 3: Cross multiply
    9,925.86x = 14,869.32 × 5,757.11
  4. Step 4: Simplify right side
    9,925.86x = 85,604,310.87
  5. Step 5: Solve for x
    x = 85,604,310.87/9,925.86
  6. Step 6: Final answer
    x = 8,624.37

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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.