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Finding the Fourth Proportional to 9,261.42, 12,781.08 and 5,069.68

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Solution

The fourth proportional to 9,261.42, 12,781.08 and 5,069.68 is: 6,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.42 : 12,781.08 = 5,069.68 : x
  2. Step 2: Convert to fraction form
    9,261.42/12,781.08 = 5,069.68/x
  3. Step 3: Cross multiply
    9,261.42x = 12,781.08 × 5,069.68
  4. Step 4: Simplify right side
    9,261.42x = 64,795,985.65
  5. Step 5: Solve for x
    x = 64,795,985.65/9,261.42
  6. Step 6: Final answer
    x = 6,996.33

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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.