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Finding the Fourth Proportional to 9,218.40, 12,718.80 and 5,493.12

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Solution

The fourth proportional to 9,218.40, 12,718.80 and 5,493.12 is: 7,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.40 : 12,718.80 = 5,493.12 : x
  2. Step 2: Convert to fraction form
    9,218.40/12,718.80 = 5,493.12/x
  3. Step 3: Cross multiply
    9,218.40x = 12,718.80 × 5,493.12
  4. Step 4: Simplify right side
    9,218.40x = 69,865,894.66
  5. Step 5: Solve for x
    x = 69,865,894.66/9,218.40
  6. Step 6: Final answer
    x = 7,578.96

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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.