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Finding the Fourth Proportional to 9,504.17, 14,257.82 and 3,957.76

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Solution

The fourth proportional to 9,504.17, 14,257.82 and 3,957.76 is: 5,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.17 : 14,257.82 = 3,957.76 : x
  2. Step 2: Convert to fraction form
    9,504.17/14,257.82 = 3,957.76/x
  3. Step 3: Cross multiply
    9,504.17x = 14,257.82 × 3,957.76
  4. Step 4: Simplify right side
    9,504.17x = 56,429,057.40
  5. Step 5: Solve for x
    x = 56,429,057.40/9,504.17
  6. Step 6: Final answer
    x = 5,937.30

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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.