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Finding the Fourth Proportional to 9,681, 14,493.96 and 6,384.04

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Solution

The fourth proportional to 9,681, 14,493.96 and 6,384.04 is: 9,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681 : 14,493.96 = 6,384.04 : x
  2. Step 2: Convert to fraction form
    9,681/14,493.96 = 6,384.04/x
  3. Step 3: Cross multiply
    9,681x = 14,493.96 × 6,384.04
  4. Step 4: Simplify right side
    9,681x = 92,530,020.40
  5. Step 5: Solve for x
    x = 92,530,020.40/9,681
  6. Step 6: Final answer
    x = 9,557.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.