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Finding the Fourth Proportional to 9,490.80, 14,236.16 and 2,565.28

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Solution

The fourth proportional to 9,490.80, 14,236.16 and 2,565.28 is: 3,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.80 : 14,236.16 = 2,565.28 : x
  2. Step 2: Convert to fraction form
    9,490.80/14,236.16 = 2,565.28/x
  3. Step 3: Cross multiply
    9,490.80x = 14,236.16 × 2,565.28
  4. Step 4: Simplify right side
    9,490.80x = 36,519,736.52
  5. Step 5: Solve for x
    x = 36,519,736.52/9,490.80
  6. Step 6: Final answer
    x = 3,847.91

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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.