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Finding the Fourth Proportional to 9,544.18, 13,175.90 and 7,414.94

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Solution

The fourth proportional to 9,544.18, 13,175.90 and 7,414.94 is: 10,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.18 : 13,175.90 = 7,414.94 : x
  2. Step 2: Convert to fraction form
    9,544.18/13,175.90 = 7,414.94/x
  3. Step 3: Cross multiply
    9,544.18x = 13,175.90 × 7,414.94
  4. Step 4: Simplify right side
    9,544.18x = 97,698,507.95
  5. Step 5: Solve for x
    x = 97,698,507.95/9,544.18
  6. Step 6: Final answer
    x = 10,236.45

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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.