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Finding the Fourth Proportional to 9,154.48, 12,633.05 and 5,175.46

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Solution

The fourth proportional to 9,154.48, 12,633.05 and 5,175.46 is: 7,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.48 : 12,633.05 = 5,175.46 : x
  2. Step 2: Convert to fraction form
    9,154.48/12,633.05 = 5,175.46/x
  3. Step 3: Cross multiply
    9,154.48x = 12,633.05 × 5,175.46
  4. Step 4: Simplify right side
    9,154.48x = 65,381,844.95
  5. Step 5: Solve for x
    x = 65,381,844.95/9,154.48
  6. Step 6: Final answer
    x = 7,142.06

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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.