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Finding the Fourth Proportional to 6,569.46, 9,854.19 and 3,279.24

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Solution

The fourth proportional to 6,569.46, 9,854.19 and 3,279.24 is: 4,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.46 : 9,854.19 = 3,279.24 : x
  2. Step 2: Convert to fraction form
    6,569.46/9,854.19 = 3,279.24/x
  3. Step 3: Cross multiply
    6,569.46x = 9,854.19 × 3,279.24
  4. Step 4: Simplify right side
    6,569.46x = 32,314,254.02
  5. Step 5: Solve for x
    x = 32,314,254.02/6,569.46
  6. Step 6: Final answer
    x = 4,918.86

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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.