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Finding the Fourth Proportional to 6,566.72, 9,062.13 and 3,582.60

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Solution

The fourth proportional to 6,566.72, 9,062.13 and 3,582.60 is: 4,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.72 : 9,062.13 = 3,582.60 : x
  2. Step 2: Convert to fraction form
    6,566.72/9,062.13 = 3,582.60/x
  3. Step 3: Cross multiply
    6,566.72x = 9,062.13 × 3,582.60
  4. Step 4: Simplify right side
    6,566.72x = 32,466,022.70
  5. Step 5: Solve for x
    x = 32,466,022.70/6,566.72
  6. Step 6: Final answer
    x = 4,944.02

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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.