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Finding the Fourth Proportional to 9,644.61, 14,455.00 and 5,691.87

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Solution

The fourth proportional to 9,644.61, 14,455.00 and 5,691.87 is: 8,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.61 : 14,455.00 = 5,691.87 : x
  2. Step 2: Convert to fraction form
    9,644.61/14,455.00 = 5,691.87/x
  3. Step 3: Cross multiply
    9,644.61x = 14,455.00 × 5,691.87
  4. Step 4: Simplify right side
    9,644.61x = 82,275,987.96
  5. Step 5: Solve for x
    x = 82,275,987.96/9,644.61
  6. Step 6: Final answer
    x = 8,530.77

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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.