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Finding the Fourth Proportional to 6,587.76, 9,087.84 and 4,197.12

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Solution

The fourth proportional to 6,587.76, 9,087.84 and 4,197.12 is: 5,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.76 : 9,087.84 = 4,197.12 : x
  2. Step 2: Convert to fraction form
    6,587.76/9,087.84 = 4,197.12/x
  3. Step 3: Cross multiply
    6,587.76x = 9,087.84 × 4,197.12
  4. Step 4: Simplify right side
    6,587.76x = 38,142,755.02
  5. Step 5: Solve for x
    x = 38,142,755.02/6,587.76
  6. Step 6: Final answer
    x = 5,789.94

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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.