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Finding the Fourth Proportional to 9,105.83, 13,649.01 and 6,500.87

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Solution

The fourth proportional to 9,105.83, 13,649.01 and 6,500.87 is: 9,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.83 : 13,649.01 = 6,500.87 : x
  2. Step 2: Convert to fraction form
    9,105.83/13,649.01 = 6,500.87/x
  3. Step 3: Cross multiply
    9,105.83x = 13,649.01 × 6,500.87
  4. Step 4: Simplify right side
    9,105.83x = 88,730,439.64
  5. Step 5: Solve for x
    x = 88,730,439.64/9,105.83
  6. Step 6: Final answer
    x = 9,744.35

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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.