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Finding the Fourth Proportional to 9,406.73, 14,108.78 and 6,587.01

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Solution

The fourth proportional to 9,406.73, 14,108.78 and 6,587.01 is: 9,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.73 : 14,108.78 = 6,587.01 : x
  2. Step 2: Convert to fraction form
    9,406.73/14,108.78 = 6,587.01/x
  3. Step 3: Cross multiply
    9,406.73x = 14,108.78 × 6,587.01
  4. Step 4: Simplify right side
    9,406.73x = 92,934,691.42
  5. Step 5: Solve for x
    x = 92,934,691.42/9,406.73
  6. Step 6: Final answer
    x = 9,879.59

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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.