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Finding the Fourth Proportional to 9,242.34, 13,863.30 and 2,578.66

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Solution

The fourth proportional to 9,242.34, 13,863.30 and 2,578.66 is: 3,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.34 : 13,863.30 = 2,578.66 : x
  2. Step 2: Convert to fraction form
    9,242.34/13,863.30 = 2,578.66/x
  3. Step 3: Cross multiply
    9,242.34x = 13,863.30 × 2,578.66
  4. Step 4: Simplify right side
    9,242.34x = 35,748,702.52
  5. Step 5: Solve for x
    x = 35,748,702.52/9,242.34
  6. Step 6: Final answer
    x = 3,867.93

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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.