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Finding the Fourth Proportional to 9,568.58, 13,197.47 and 6,211.53

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Solution

The fourth proportional to 9,568.58, 13,197.47 and 6,211.53 is: 8,567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.58 : 13,197.47 = 6,211.53 : x
  2. Step 2: Convert to fraction form
    9,568.58/13,197.47 = 6,211.53/x
  3. Step 3: Cross multiply
    9,568.58x = 13,197.47 × 6,211.53
  4. Step 4: Simplify right side
    9,568.58x = 81,976,449.77
  5. Step 5: Solve for x
    x = 81,976,449.77/9,568.58
  6. Step 6: Final answer
    x = 8,567.26

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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.