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Finding the Fourth Proportional to 6,605.76, 9,110.70 and 5,614.32

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Solution

The fourth proportional to 6,605.76, 9,110.70 and 5,614.32 is: 7,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.76 : 9,110.70 = 5,614.32 : x
  2. Step 2: Convert to fraction form
    6,605.76/9,110.70 = 5,614.32/x
  3. Step 3: Cross multiply
    6,605.76x = 9,110.70 × 5,614.32
  4. Step 4: Simplify right side
    6,605.76x = 51,150,385.22
  5. Step 5: Solve for x
    x = 51,150,385.22/6,605.76
  6. Step 6: Final answer
    x = 7,743.30

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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.