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Finding the Fourth Proportional to 9,732.86, 14,603.90 and 5,791.91

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Solution

The fourth proportional to 9,732.86, 14,603.90 and 5,791.91 is: 8,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.86 : 14,603.90 = 5,791.91 : x
  2. Step 2: Convert to fraction form
    9,732.86/14,603.90 = 5,791.91/x
  3. Step 3: Cross multiply
    9,732.86x = 14,603.90 × 5,791.91
  4. Step 4: Simplify right side
    9,732.86x = 84,584,372.47
  5. Step 5: Solve for x
    x = 84,584,372.47/9,732.86
  6. Step 6: Final answer
    x = 8,690.60

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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.