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Finding the Fourth Proportional to 7,191.62, 9,921.23 and 4,206.14

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Solution

The fourth proportional to 7,191.62, 9,921.23 and 4,206.14 is: 5,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.62 : 9,921.23 = 4,206.14 : x
  2. Step 2: Convert to fraction form
    7,191.62/9,921.23 = 4,206.14/x
  3. Step 3: Cross multiply
    7,191.62x = 9,921.23 × 4,206.14
  4. Step 4: Simplify right side
    7,191.62x = 41,730,011.72
  5. Step 5: Solve for x
    x = 41,730,011.72/7,191.62
  6. Step 6: Final answer
    x = 5,802.59

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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.