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Finding the Fourth Proportional to 9,098.93, 13,642.34 and 3,552.78

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Solution

The fourth proportional to 9,098.93, 13,642.34 and 3,552.78 is: 5,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.93 : 13,642.34 = 3,552.78 : x
  2. Step 2: Convert to fraction form
    9,098.93/13,642.34 = 3,552.78/x
  3. Step 3: Cross multiply
    9,098.93x = 13,642.34 × 3,552.78
  4. Step 4: Simplify right side
    9,098.93x = 48,468,214.94
  5. Step 5: Solve for x
    x = 48,468,214.94/9,098.93
  6. Step 6: Final answer
    x = 5,326.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.