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Finding the Fourth Proportional to 9,257.68, 12,775.64 and 5,065.92

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Solution

The fourth proportional to 9,257.68, 12,775.64 and 5,065.92 is: 6,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.68 : 12,775.64 = 5,065.92 : x
  2. Step 2: Convert to fraction form
    9,257.68/12,775.64 = 5,065.92/x
  3. Step 3: Cross multiply
    9,257.68x = 12,775.64 × 5,065.92
  4. Step 4: Simplify right side
    9,257.68x = 64,720,370.19
  5. Step 5: Solve for x
    x = 64,720,370.19/9,257.68
  6. Step 6: Final answer
    x = 6,990.99

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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.