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Finding the Fourth Proportional to 9,018.12, 13,532.04 and 6,826.32

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Solution

The fourth proportional to 9,018.12, 13,532.04 and 6,826.32 is: 10,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,018.12 : 13,532.04 = 6,826.32 : x
  2. Step 2: Convert to fraction form
    9,018.12/13,532.04 = 6,826.32/x
  3. Step 3: Cross multiply
    9,018.12x = 13,532.04 × 6,826.32
  4. Step 4: Simplify right side
    9,018.12x = 92,374,035.29
  5. Step 5: Solve for x
    x = 92,374,035.29/9,018.12
  6. Step 6: Final answer
    x = 10,243.16

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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.