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Finding the Fourth Proportional to 6,585.47, 9,867.80 and 5,346.83

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Solution

The fourth proportional to 6,585.47, 9,867.80 and 5,346.83 is: 8,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.47 : 9,867.80 = 5,346.83 : x
  2. Step 2: Convert to fraction form
    6,585.47/9,867.80 = 5,346.83/x
  3. Step 3: Cross multiply
    6,585.47x = 9,867.80 × 5,346.83
  4. Step 4: Simplify right side
    6,585.47x = 52,761,450.11
  5. Step 5: Solve for x
    x = 52,761,450.11/6,585.47
  6. Step 6: Final answer
    x = 8,011.80

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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.