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Finding the Fourth Proportional to 9,538.42, 13,162.86 and 5,559.70

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Solution

The fourth proportional to 9,538.42, 13,162.86 and 5,559.70 is: 7,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.42 : 13,162.86 = 5,559.70 : x
  2. Step 2: Convert to fraction form
    9,538.42/13,162.86 = 5,559.70/x
  3. Step 3: Cross multiply
    9,538.42x = 13,162.86 × 5,559.70
  4. Step 4: Simplify right side
    9,538.42x = 73,181,552.74
  5. Step 5: Solve for x
    x = 73,181,552.74/9,538.42
  6. Step 6: Final answer
    x = 7,672.29

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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.