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Finding the Fourth Proportional to 9,689.25, 13,369.10 and 5,708.91

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Solution

The fourth proportional to 9,689.25, 13,369.10 and 5,708.91 is: 7,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.25 : 13,369.10 = 5,708.91 : x
  2. Step 2: Convert to fraction form
    9,689.25/13,369.10 = 5,708.91/x
  3. Step 3: Cross multiply
    9,689.25x = 13,369.10 × 5,708.91
  4. Step 4: Simplify right side
    9,689.25x = 76,322,960.14
  5. Step 5: Solve for x
    x = 76,322,960.14/9,689.25
  6. Step 6: Final answer
    x = 7,877.08

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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.