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Finding the Fourth Proportional to 9,625.46, 14,432.72 and 3,778.88

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Solution

The fourth proportional to 9,625.46, 14,432.72 and 3,778.88 is: 5,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.46 : 14,432.72 = 3,778.88 : x
  2. Step 2: Convert to fraction form
    9,625.46/14,432.72 = 3,778.88/x
  3. Step 3: Cross multiply
    9,625.46x = 14,432.72 × 3,778.88
  4. Step 4: Simplify right side
    9,625.46x = 54,539,516.95
  5. Step 5: Solve for x
    x = 54,539,516.95/9,625.46
  6. Step 6: Final answer
    x = 5,666.17

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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.