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Finding the Fourth Proportional to 9,489.74, 14,233.15 and 3,248.32

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Solution

The fourth proportional to 9,489.74, 14,233.15 and 3,248.32 is: 4,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.74 : 14,233.15 = 3,248.32 : x
  2. Step 2: Convert to fraction form
    9,489.74/14,233.15 = 3,248.32/x
  3. Step 3: Cross multiply
    9,489.74x = 14,233.15 × 3,248.32
  4. Step 4: Simplify right side
    9,489.74x = 46,233,847.66
  5. Step 5: Solve for x
    x = 46,233,847.66/9,489.74
  6. Step 6: Final answer
    x = 4,871.98

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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.