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Finding the Fourth Proportional to 6,329.60, 9,494.55 and 1,947.10

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Solution

The fourth proportional to 6,329.60, 9,494.55 and 1,947.10 is: 2,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.60 : 9,494.55 = 1,947.10 : x
  2. Step 2: Convert to fraction form
    6,329.60/9,494.55 = 1,947.10/x
  3. Step 3: Cross multiply
    6,329.60x = 9,494.55 × 1,947.10
  4. Step 4: Simplify right side
    6,329.60x = 18,486,838.31
  5. Step 5: Solve for x
    x = 18,486,838.31/6,329.60
  6. Step 6: Final answer
    x = 2,920.70

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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.