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Finding the Fourth Proportional to 6,557.76, 9,042.48 and 4,882.32

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Solution

The fourth proportional to 6,557.76, 9,042.48 and 4,882.32 is: 6,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.76 : 9,042.48 = 4,882.32 : x
  2. Step 2: Convert to fraction form
    6,557.76/9,042.48 = 4,882.32/x
  3. Step 3: Cross multiply
    6,557.76x = 9,042.48 × 4,882.32
  4. Step 4: Simplify right side
    6,557.76x = 44,148,280.95
  5. Step 5: Solve for x
    x = 44,148,280.95/6,557.76
  6. Step 6: Final answer
    x = 6,732.22

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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.