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Finding the Fourth Proportional to 6,981.60, 9,643.12 and 5,221.04

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Solution

The fourth proportional to 6,981.60, 9,643.12 and 5,221.04 is: 7,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.60 : 9,643.12 = 5,221.04 : x
  2. Step 2: Convert to fraction form
    6,981.60/9,643.12 = 5,221.04/x
  3. Step 3: Cross multiply
    6,981.60x = 9,643.12 × 5,221.04
  4. Step 4: Simplify right side
    6,981.60x = 50,347,115.24
  5. Step 5: Solve for x
    x = 50,347,115.24/6,981.60
  6. Step 6: Final answer
    x = 7,211.40

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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.