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Finding the Fourth Proportional to 9,654.93, 13,319.10 and 6,296.22

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Solution

The fourth proportional to 9,654.93, 13,319.10 and 6,296.22 is: 8,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.93 : 13,319.10 = 6,296.22 : x
  2. Step 2: Convert to fraction form
    9,654.93/13,319.10 = 6,296.22/x
  3. Step 3: Cross multiply
    9,654.93x = 13,319.10 × 6,296.22
  4. Step 4: Simplify right side
    9,654.93x = 83,859,983.80
  5. Step 5: Solve for x
    x = 83,859,983.80/9,654.93
  6. Step 6: Final answer
    x = 8,685.72

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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.