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Finding the Fourth Proportional to 9,146.90, 13,727.17 and 6,178.32

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Solution

The fourth proportional to 9,146.90, 13,727.17 and 6,178.32 is: 9,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.90 : 13,727.17 = 6,178.32 : x
  2. Step 2: Convert to fraction form
    9,146.90/13,727.17 = 6,178.32/x
  3. Step 3: Cross multiply
    9,146.90x = 13,727.17 × 6,178.32
  4. Step 4: Simplify right side
    9,146.90x = 84,810,848.95
  5. Step 5: Solve for x
    x = 84,810,848.95/9,146.90
  6. Step 6: Final answer
    x = 9,272.09

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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.