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Finding the Fourth Proportional to 9,121.20, 13,681.80 and 3,278.40

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Solution

The fourth proportional to 9,121.20, 13,681.80 and 3,278.40 is: 4,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.20 : 13,681.80 = 3,278.40 : x
  2. Step 2: Convert to fraction form
    9,121.20/13,681.80 = 3,278.40/x
  3. Step 3: Cross multiply
    9,121.20x = 13,681.80 × 3,278.40
  4. Step 4: Simplify right side
    9,121.20x = 44,854,413.12
  5. Step 5: Solve for x
    x = 44,854,413.12/9,121.20
  6. Step 6: Final answer
    x = 4,917.60

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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.