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Finding the Fourth Proportional to 7,191.39, 9,924.09 and 4,047.63

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Solution

The fourth proportional to 7,191.39, 9,924.09 and 4,047.63 is: 5,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.39 : 9,924.09 = 4,047.63 : x
  2. Step 2: Convert to fraction form
    7,191.39/9,924.09 = 4,047.63/x
  3. Step 3: Cross multiply
    7,191.39x = 9,924.09 × 4,047.63
  4. Step 4: Simplify right side
    7,191.39x = 40,169,044.41
  5. Step 5: Solve for x
    x = 40,169,044.41/7,191.39
  6. Step 6: Final answer
    x = 5,585.71

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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.