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Finding the Fourth Proportional to 9,168, 12,655.12 and 5,442

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Solution

The fourth proportional to 9,168, 12,655.12 and 5,442 is: 7,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168 : 12,655.12 = 5,442 : x
  2. Step 2: Convert to fraction form
    9,168/12,655.12 = 5,442/x
  3. Step 3: Cross multiply
    9,168x = 12,655.12 × 5,442
  4. Step 4: Simplify right side
    9,168x = 68,869,163.04
  5. Step 5: Solve for x
    x = 68,869,163.04/9,168
  6. Step 6: Final answer
    x = 7,511.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.