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Finding the Fourth Proportional to 9,248.81, 12,763.30 and 5,057.06

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Solution

The fourth proportional to 9,248.81, 12,763.30 and 5,057.06 is: 6,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.81 : 12,763.30 = 5,057.06 : x
  2. Step 2: Convert to fraction form
    9,248.81/12,763.30 = 5,057.06/x
  3. Step 3: Cross multiply
    9,248.81x = 12,763.30 × 5,057.06
  4. Step 4: Simplify right side
    9,248.81x = 64,544,773.90
  5. Step 5: Solve for x
    x = 64,544,773.90/9,248.81
  6. Step 6: Final answer
    x = 6,978.71

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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.