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Finding the Fourth Proportional to 6,828.48, 9,425.10 and 4,178.13

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Solution

The fourth proportional to 6,828.48, 9,425.10 and 4,178.13 is: 5,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.48 : 9,425.10 = 4,178.13 : x
  2. Step 2: Convert to fraction form
    6,828.48/9,425.10 = 4,178.13/x
  3. Step 3: Cross multiply
    6,828.48x = 9,425.10 × 4,178.13
  4. Step 4: Simplify right side
    6,828.48x = 39,379,293.06
  5. Step 5: Solve for x
    x = 39,379,293.06/6,828.48
  6. Step 6: Final answer
    x = 5,766.92

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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.