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Finding the Fourth Proportional to 9,686.76, 13,366.08 and 5,708.04

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Solution

The fourth proportional to 9,686.76, 13,366.08 and 5,708.04 is: 7,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.76 : 13,366.08 = 5,708.04 : x
  2. Step 2: Convert to fraction form
    9,686.76/13,366.08 = 5,708.04/x
  3. Step 3: Cross multiply
    9,686.76x = 13,366.08 × 5,708.04
  4. Step 4: Simplify right side
    9,686.76x = 76,294,119.28
  5. Step 5: Solve for x
    x = 76,294,119.28/9,686.76
  6. Step 6: Final answer
    x = 7,876.12

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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.