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Finding the Fourth Proportional to 6,587.14, 9,869.73 and 4,635.24

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Solution

The fourth proportional to 6,587.14, 9,869.73 and 4,635.24 is: 6,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.14 : 9,869.73 = 4,635.24 : x
  2. Step 2: Convert to fraction form
    6,587.14/9,869.73 = 4,635.24/x
  3. Step 3: Cross multiply
    6,587.14x = 9,869.73 × 4,635.24
  4. Step 4: Simplify right side
    6,587.14x = 45,748,517.94
  5. Step 5: Solve for x
    x = 45,748,517.94/6,587.14
  6. Step 6: Final answer
    x = 6,945.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.