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Finding the Fourth Proportional to 9,196.53, 13,794.80 and 6,428.61

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Solution

The fourth proportional to 9,196.53, 13,794.80 and 6,428.61 is: 9,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.53 : 13,794.80 = 6,428.61 : x
  2. Step 2: Convert to fraction form
    9,196.53/13,794.80 = 6,428.61/x
  3. Step 3: Cross multiply
    9,196.53x = 13,794.80 × 6,428.61
  4. Step 4: Simplify right side
    9,196.53x = 88,681,357.08
  5. Step 5: Solve for x
    x = 88,681,357.08/9,196.53
  6. Step 6: Final answer
    x = 9,642.92

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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.