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Finding the Fourth Proportional to 9,639.60, 13,304.16 and 6,986.04

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Solution

The fourth proportional to 9,639.60, 13,304.16 and 6,986.04 is: 9,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.60 : 13,304.16 = 6,986.04 : x
  2. Step 2: Convert to fraction form
    9,639.60/13,304.16 = 6,986.04/x
  3. Step 3: Cross multiply
    9,639.60x = 13,304.16 × 6,986.04
  4. Step 4: Simplify right side
    9,639.60x = 92,943,393.93
  5. Step 5: Solve for x
    x = 92,943,393.93/9,639.60
  6. Step 6: Final answer
    x = 9,641.83

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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.