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Finding the Fourth Proportional to 9,178.32, 13,766.54 and 3,254.25

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Solution

The fourth proportional to 9,178.32, 13,766.54 and 3,254.25 is: 4,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.32 : 13,766.54 = 3,254.25 : x
  2. Step 2: Convert to fraction form
    9,178.32/13,766.54 = 3,254.25/x
  3. Step 3: Cross multiply
    9,178.32x = 13,766.54 × 3,254.25
  4. Step 4: Simplify right side
    9,178.32x = 44,799,746.52
  5. Step 5: Solve for x
    x = 44,799,746.52/9,178.32
  6. Step 6: Final answer
    x = 4,881.04

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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.