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Finding the Fourth Proportional to 6,600.83, 9,877.57 and 6,160.88

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Solution

The fourth proportional to 6,600.83, 9,877.57 and 6,160.88 is: 9,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.83 : 9,877.57 = 6,160.88 : x
  2. Step 2: Convert to fraction form
    6,600.83/9,877.57 = 6,160.88/x
  3. Step 3: Cross multiply
    6,600.83x = 9,877.57 × 6,160.88
  4. Step 4: Simplify right side
    6,600.83x = 60,854,532.75
  5. Step 5: Solve for x
    x = 60,854,532.75/6,600.83
  6. Step 6: Final answer
    x = 9,219.23

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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.