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Finding the Fourth Proportional to 9,209.81, 12,711 and 5,232.18

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Solution

The fourth proportional to 9,209.81, 12,711 and 5,232.18 is: 7,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.81 : 12,711 = 5,232.18 : x
  2. Step 2: Convert to fraction form
    9,209.81/12,711 = 5,232.18/x
  3. Step 3: Cross multiply
    9,209.81x = 12,711 × 5,232.18
  4. Step 4: Simplify right side
    9,209.81x = 66,506,239.98
  5. Step 5: Solve for x
    x = 66,506,239.98/9,209.81
  6. Step 6: Final answer
    x = 7,221.24

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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.