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Finding the Fourth Proportional to 6,587.15, 9,887.68 and 6,438.41

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Solution

The fourth proportional to 6,587.15, 9,887.68 and 6,438.41 is: 9,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.15 : 9,887.68 = 6,438.41 : x
  2. Step 2: Convert to fraction form
    6,587.15/9,887.68 = 6,438.41/x
  3. Step 3: Cross multiply
    6,587.15x = 9,887.68 × 6,438.41
  4. Step 4: Simplify right side
    6,587.15x = 63,660,937.79
  5. Step 5: Solve for x
    x = 63,660,937.79/6,587.15
  6. Step 6: Final answer
    x = 9,664.41

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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.