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Finding the Fourth Proportional to 9,153.90, 12,633.17 and 5,175.72

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Solution

The fourth proportional to 9,153.90, 12,633.17 and 5,175.72 is: 7,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.90 : 12,633.17 = 5,175.72 : x
  2. Step 2: Convert to fraction form
    9,153.90/12,633.17 = 5,175.72/x
  3. Step 3: Cross multiply
    9,153.90x = 12,633.17 × 5,175.72
  4. Step 4: Simplify right side
    9,153.90x = 65,385,750.63
  5. Step 5: Solve for x
    x = 65,385,750.63/9,153.90
  6. Step 6: Final answer
    x = 7,142.94

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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.