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Finding the Fourth Proportional to 6,335.48, 8,731.92 and 5,447.72

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Solution

The fourth proportional to 6,335.48, 8,731.92 and 5,447.72 is: 7,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.48 : 8,731.92 = 5,447.72 : x
  2. Step 2: Convert to fraction form
    6,335.48/8,731.92 = 5,447.72/x
  3. Step 3: Cross multiply
    6,335.48x = 8,731.92 × 5,447.72
  4. Step 4: Simplify right side
    6,335.48x = 47,569,055.22
  5. Step 5: Solve for x
    x = 47,569,055.22/6,335.48
  6. Step 6: Final answer
    x = 7,508.36

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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.