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Finding the Fourth Proportional to 9,278.62, 12,806.84 and 5,302.07

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Solution

The fourth proportional to 9,278.62, 12,806.84 and 5,302.07 is: 7,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.62 : 12,806.84 = 5,302.07 : x
  2. Step 2: Convert to fraction form
    9,278.62/12,806.84 = 5,302.07/x
  3. Step 3: Cross multiply
    9,278.62x = 12,806.84 × 5,302.07
  4. Step 4: Simplify right side
    9,278.62x = 67,902,759.41
  5. Step 5: Solve for x
    x = 67,902,759.41/9,278.62
  6. Step 6: Final answer
    x = 7,318.20

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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.