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Finding the Fourth Proportional to 6,542.72, 9,812.80 and 1,924.48

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Solution

The fourth proportional to 6,542.72, 9,812.80 and 1,924.48 is: 2,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.72 : 9,812.80 = 1,924.48 : x
  2. Step 2: Convert to fraction form
    6,542.72/9,812.80 = 1,924.48/x
  3. Step 3: Cross multiply
    6,542.72x = 9,812.80 × 1,924.48
  4. Step 4: Simplify right side
    6,542.72x = 18,884,537.34
  5. Step 5: Solve for x
    x = 18,884,537.34/6,542.72
  6. Step 6: Final answer
    x = 2,886.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.