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Finding the Fourth Proportional to 9,340.80, 12,892.50 and 5,806.68

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Solution

The fourth proportional to 9,340.80, 12,892.50 and 5,806.68 is: 8,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.80 : 12,892.50 = 5,806.68 : x
  2. Step 2: Convert to fraction form
    9,340.80/12,892.50 = 5,806.68/x
  3. Step 3: Cross multiply
    9,340.80x = 12,892.50 × 5,806.68
  4. Step 4: Simplify right side
    9,340.80x = 74,862,621.90
  5. Step 5: Solve for x
    x = 74,862,621.90/9,340.80
  6. Step 6: Final answer
    x = 8,014.58

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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.