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Finding the Fourth Proportional to 9,757.26, 13,465.17 and 5,565.51

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Solution

The fourth proportional to 9,757.26, 13,465.17 and 5,565.51 is: 7,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.26 : 13,465.17 = 5,565.51 : x
  2. Step 2: Convert to fraction form
    9,757.26/13,465.17 = 5,565.51/x
  3. Step 3: Cross multiply
    9,757.26x = 13,465.17 × 5,565.51
  4. Step 4: Simplify right side
    9,757.26x = 74,940,538.29
  5. Step 5: Solve for x
    x = 74,940,538.29/9,757.26
  6. Step 6: Final answer
    x = 7,680.49

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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.