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Finding the Fourth Proportional to 7,074.34, 9,766.78 and 4,685.04

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Solution

The fourth proportional to 7,074.34, 9,766.78 and 4,685.04 is: 6,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.34 : 9,766.78 = 4,685.04 : x
  2. Step 2: Convert to fraction form
    7,074.34/9,766.78 = 4,685.04/x
  3. Step 3: Cross multiply
    7,074.34x = 9,766.78 × 4,685.04
  4. Step 4: Simplify right side
    7,074.34x = 45,757,743.26
  5. Step 5: Solve for x
    x = 45,757,743.26/7,074.34
  6. Step 6: Final answer
    x = 6,468.13

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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.