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Finding the Fourth Proportional to 6,616.85, 9,131.72 and 4,374.83

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Solution

The fourth proportional to 6,616.85, 9,131.72 and 4,374.83 is: 6,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.85 : 9,131.72 = 4,374.83 : x
  2. Step 2: Convert to fraction form
    6,616.85/9,131.72 = 4,374.83/x
  3. Step 3: Cross multiply
    6,616.85x = 9,131.72 × 4,374.83
  4. Step 4: Simplify right side
    6,616.85x = 39,949,655.07
  5. Step 5: Solve for x
    x = 39,949,655.07/6,616.85
  6. Step 6: Final answer
    x = 6,037.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.