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Finding the Fourth Proportional to 9,758.25, 13,468.82 and 5,568.93

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Solution

The fourth proportional to 9,758.25, 13,468.82 and 5,568.93 is: 7,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.25 : 13,468.82 = 5,568.93 : x
  2. Step 2: Convert to fraction form
    9,758.25/13,468.82 = 5,568.93/x
  3. Step 3: Cross multiply
    9,758.25x = 13,468.82 × 5,568.93
  4. Step 4: Simplify right side
    9,758.25x = 75,006,887.92
  5. Step 5: Solve for x
    x = 75,006,887.92/9,758.25
  6. Step 6: Final answer
    x = 7,686.51

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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.