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Finding the Fourth Proportional to 9,654.40, 14,472.96 and 5,032

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Solution

The fourth proportional to 9,654.40, 14,472.96 and 5,032 is: 7,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.40 : 14,472.96 = 5,032 : x
  2. Step 2: Convert to fraction form
    9,654.40/14,472.96 = 5,032/x
  3. Step 3: Cross multiply
    9,654.40x = 14,472.96 × 5,032
  4. Step 4: Simplify right side
    9,654.40x = 72,827,934.72
  5. Step 5: Solve for x
    x = 72,827,934.72/9,654.40
  6. Step 6: Final answer
    x = 7,543.50

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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.