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Finding the Fourth Proportional to 12,372.12, 18,546.93 and 6,442.04

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Solution

The fourth proportional to 12,372.12, 18,546.93 and 6,442.04 is: 9,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.12 : 18,546.93 = 6,442.04 : x
  2. Step 2: Convert to fraction form
    12,372.12/18,546.93 = 6,442.04/x
  3. Step 3: Cross multiply
    12,372.12x = 18,546.93 × 6,442.04
  4. Step 4: Simplify right side
    12,372.12x = 119,480,111.30
  5. Step 5: Solve for x
    x = 119,480,111.30/12,372.12
  6. Step 6: Final answer
    x = 9,657.21

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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.