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Finding the Fourth Proportional to 9,686.72, 13,370.88 and 5,708.96

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Solution

The fourth proportional to 9,686.72, 13,370.88 and 5,708.96 is: 7,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.72 : 13,370.88 = 5,708.96 : x
  2. Step 2: Convert to fraction form
    9,686.72/13,370.88 = 5,708.96/x
  3. Step 3: Cross multiply
    9,686.72x = 13,370.88 × 5,708.96
  4. Step 4: Simplify right side
    9,686.72x = 76,333,819.08
  5. Step 5: Solve for x
    x = 76,333,819.08/9,686.72
  6. Step 6: Final answer
    x = 7,880.25

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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.