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Finding the Fourth Proportional to 9,248.84, 12,763.42 and 5,057.10

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Solution

The fourth proportional to 9,248.84, 12,763.42 and 5,057.10 is: 6,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.84 : 12,763.42 = 5,057.10 : x
  2. Step 2: Convert to fraction form
    9,248.84/12,763.42 = 5,057.10/x
  3. Step 3: Cross multiply
    9,248.84x = 12,763.42 × 5,057.10
  4. Step 4: Simplify right side
    9,248.84x = 64,545,891.28
  5. Step 5: Solve for x
    x = 64,545,891.28/9,248.84
  6. Step 6: Final answer
    x = 6,978.81

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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.