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Finding the Fourth Proportional to 6,478.62, 8,947 and 5,078.94

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Solution

The fourth proportional to 6,478.62, 8,947 and 5,078.94 is: 7,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.62 : 8,947 = 5,078.94 : x
  2. Step 2: Convert to fraction form
    6,478.62/8,947 = 5,078.94/x
  3. Step 3: Cross multiply
    6,478.62x = 8,947 × 5,078.94
  4. Step 4: Simplify right side
    6,478.62x = 45,441,276.18
  5. Step 5: Solve for x
    x = 45,441,276.18/6,478.62
  6. Step 6: Final answer
    x = 7,014.04

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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.