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Finding the Fourth Proportional to 7,041.60, 9,687.60 and 6,847.20

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Solution

The fourth proportional to 7,041.60, 9,687.60 and 6,847.20 is: 9,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.60 : 9,687.60 = 6,847.20 : x
  2. Step 2: Convert to fraction form
    7,041.60/9,687.60 = 6,847.20/x
  3. Step 3: Cross multiply
    7,041.60x = 9,687.60 × 6,847.20
  4. Step 4: Simplify right side
    7,041.60x = 66,332,934.72
  5. Step 5: Solve for x
    x = 66,332,934.72/7,041.60
  6. Step 6: Final answer
    x = 9,420.15

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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.