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Finding the Fourth Proportional to 9,902.57, 14,859.33 and 4,057.82

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Solution

The fourth proportional to 9,902.57, 14,859.33 and 4,057.82 is: 6,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.57 : 14,859.33 = 4,057.82 : x
  2. Step 2: Convert to fraction form
    9,902.57/14,859.33 = 4,057.82/x
  3. Step 3: Cross multiply
    9,902.57x = 14,859.33 × 4,057.82
  4. Step 4: Simplify right side
    9,902.57x = 60,296,391.87
  5. Step 5: Solve for x
    x = 60,296,391.87/9,902.57
  6. Step 6: Final answer
    x = 6,088.96

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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.