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Finding the Fourth Proportional to 7,191.62, 9,924.47 and 4,206.87

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Solution

The fourth proportional to 7,191.62, 9,924.47 and 4,206.87 is: 5,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.62 : 9,924.47 = 4,206.87 : x
  2. Step 2: Convert to fraction form
    7,191.62/9,924.47 = 4,206.87/x
  3. Step 3: Cross multiply
    7,191.62x = 9,924.47 × 4,206.87
  4. Step 4: Simplify right side
    7,191.62x = 41,750,934.07
  5. Step 5: Solve for x
    x = 41,750,934.07/7,191.62
  6. Step 6: Final answer
    x = 5,805.50

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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.