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Finding the Fourth Proportional to 6,862.54, 9,470.31 and 4,029.36

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Solution

The fourth proportional to 6,862.54, 9,470.31 and 4,029.36 is: 5,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.54 : 9,470.31 = 4,029.36 : x
  2. Step 2: Convert to fraction form
    6,862.54/9,470.31 = 4,029.36/x
  3. Step 3: Cross multiply
    6,862.54x = 9,470.31 × 4,029.36
  4. Step 4: Simplify right side
    6,862.54x = 38,159,288.30
  5. Step 5: Solve for x
    x = 38,159,288.30/6,862.54
  6. Step 6: Final answer
    x = 5,560.52

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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.