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Finding the Fourth Proportional to 9,294.26, 12,823.81 and 5,261.18

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Solution

The fourth proportional to 9,294.26, 12,823.81 and 5,261.18 is: 7,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.26 : 12,823.81 = 5,261.18 : x
  2. Step 2: Convert to fraction form
    9,294.26/12,823.81 = 5,261.18/x
  3. Step 3: Cross multiply
    9,294.26x = 12,823.81 × 5,261.18
  4. Step 4: Simplify right side
    9,294.26x = 67,468,295.42
  5. Step 5: Solve for x
    x = 67,468,295.42/9,294.26
  6. Step 6: Final answer
    x = 7,259.14

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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.