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Finding the Fourth Proportional to 9,278.46, 12,806.10 and 5,299.20

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Solution

The fourth proportional to 9,278.46, 12,806.10 and 5,299.20 is: 7,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.46 : 12,806.10 = 5,299.20 : x
  2. Step 2: Convert to fraction form
    9,278.46/12,806.10 = 5,299.20/x
  3. Step 3: Cross multiply
    9,278.46x = 12,806.10 × 5,299.20
  4. Step 4: Simplify right side
    9,278.46x = 67,862,085.12
  5. Step 5: Solve for x
    x = 67,862,085.12/9,278.46
  6. Step 6: Final answer
    x = 7,313.94

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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.