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Finding the Fourth Proportional to 6,225.68, 9,339.96 and 2,065.38

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Solution

The fourth proportional to 6,225.68, 9,339.96 and 2,065.38 is: 3,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.68 : 9,339.96 = 2,065.38 : x
  2. Step 2: Convert to fraction form
    6,225.68/9,339.96 = 2,065.38/x
  3. Step 3: Cross multiply
    6,225.68x = 9,339.96 × 2,065.38
  4. Step 4: Simplify right side
    6,225.68x = 19,290,566.58
  5. Step 5: Solve for x
    x = 19,290,566.58/6,225.68
  6. Step 6: Final answer
    x = 3,098.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.