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Finding the Fourth Proportional to 9,648.40, 13,319.76 and 6,296.08

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Solution

The fourth proportional to 9,648.40, 13,319.76 and 6,296.08 is: 8,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.40 : 13,319.76 = 6,296.08 : x
  2. Step 2: Convert to fraction form
    9,648.40/13,319.76 = 6,296.08/x
  3. Step 3: Cross multiply
    9,648.40x = 13,319.76 × 6,296.08
  4. Step 4: Simplify right side
    9,648.40x = 83,862,274.54
  5. Step 5: Solve for x
    x = 83,862,274.54/9,648.40
  6. Step 6: Final answer
    x = 8,691.83

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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.