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Finding the Fourth Proportional to 6,688.65, 9,228.07 and 3,855.95

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Solution

The fourth proportional to 6,688.65, 9,228.07 and 3,855.95 is: 5,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.65 : 9,228.07 = 3,855.95 : x
  2. Step 2: Convert to fraction form
    6,688.65/9,228.07 = 3,855.95/x
  3. Step 3: Cross multiply
    6,688.65x = 9,228.07 × 3,855.95
  4. Step 4: Simplify right side
    6,688.65x = 35,582,920.74
  5. Step 5: Solve for x
    x = 35,582,920.74/6,688.65
  6. Step 6: Final answer
    x = 5,319.90

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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.