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Finding the Fourth Proportional to 9,211.17, 12,711 and 5,232.22

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Solution

The fourth proportional to 9,211.17, 12,711 and 5,232.22 is: 7,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.17 : 12,711 = 5,232.22 : x
  2. Step 2: Convert to fraction form
    9,211.17/12,711 = 5,232.22/x
  3. Step 3: Cross multiply
    9,211.17x = 12,711 × 5,232.22
  4. Step 4: Simplify right side
    9,211.17x = 66,506,748.42
  5. Step 5: Solve for x
    x = 66,506,748.42/9,211.17
  6. Step 6: Final answer
    x = 7,220.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.