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Finding the Fourth Proportional to 6,566.18, 9,060.97 and 3,733.16

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Solution

The fourth proportional to 6,566.18, 9,060.97 and 3,733.16 is: 5,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.18 : 9,060.97 = 3,733.16 : x
  2. Step 2: Convert to fraction form
    6,566.18/9,060.97 = 3,733.16/x
  3. Step 3: Cross multiply
    6,566.18x = 9,060.97 × 3,733.16
  4. Step 4: Simplify right side
    6,566.18x = 33,826,054.10
  5. Step 5: Solve for x
    x = 33,826,054.10/6,566.18
  6. Step 6: Final answer
    x = 5,151.56

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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.