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Finding the Fourth Proportional to 9,280.12, 12,806.82 and 5,301.88

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Solution

The fourth proportional to 9,280.12, 12,806.82 and 5,301.88 is: 7,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.12 : 12,806.82 = 5,301.88 : x
  2. Step 2: Convert to fraction form
    9,280.12/12,806.82 = 5,301.88/x
  3. Step 3: Cross multiply
    9,280.12x = 12,806.82 × 5,301.88
  4. Step 4: Simplify right side
    9,280.12x = 67,900,222.82
  5. Step 5: Solve for x
    x = 67,900,222.82/9,280.12
  6. Step 6: Final answer
    x = 7,316.74

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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.