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Finding the Fourth Proportional to 9,252.16, 13,878.10 and 2,232.11

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Solution

The fourth proportional to 9,252.16, 13,878.10 and 2,232.11 is: 3,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.16 : 13,878.10 = 2,232.11 : x
  2. Step 2: Convert to fraction form
    9,252.16/13,878.10 = 2,232.11/x
  3. Step 3: Cross multiply
    9,252.16x = 13,878.10 × 2,232.11
  4. Step 4: Simplify right side
    9,252.16x = 30,977,449.18
  5. Step 5: Solve for x
    x = 30,977,449.18/9,252.16
  6. Step 6: Final answer
    x = 3,348.13

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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.