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Finding the Fourth Proportional to 7,191.68, 9,924.20 and 4,047.76

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Solution

The fourth proportional to 7,191.68, 9,924.20 and 4,047.76 is: 5,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.68 : 9,924.20 = 4,047.76 : x
  2. Step 2: Convert to fraction form
    7,191.68/9,924.20 = 4,047.76/x
  3. Step 3: Cross multiply
    7,191.68x = 9,924.20 × 4,047.76
  4. Step 4: Simplify right side
    7,191.68x = 40,170,779.79
  5. Step 5: Solve for x
    x = 40,170,779.79/7,191.68
  6. Step 6: Final answer
    x = 5,585.73

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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.