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Finding the Fourth Proportional to 6,781.98, 9,360.63 and 4,129.50

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Solution

The fourth proportional to 6,781.98, 9,360.63 and 4,129.50 is: 5,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.98 : 9,360.63 = 4,129.50 : x
  2. Step 2: Convert to fraction form
    6,781.98/9,360.63 = 4,129.50/x
  3. Step 3: Cross multiply
    6,781.98x = 9,360.63 × 4,129.50
  4. Step 4: Simplify right side
    6,781.98x = 38,654,721.59
  5. Step 5: Solve for x
    x = 38,654,721.59/6,781.98
  6. Step 6: Final answer
    x = 5,699.62

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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.