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Finding the Fourth Proportional to 10,116.58, 13,974.51 and 9,173.44

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Solution

The fourth proportional to 10,116.58, 13,974.51 and 9,173.44 is: 12,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.58 : 13,974.51 = 9,173.44 : x
  2. Step 2: Convert to fraction form
    10,116.58/13,974.51 = 9,173.44/x
  3. Step 3: Cross multiply
    10,116.58x = 13,974.51 × 9,173.44
  4. Step 4: Simplify right side
    10,116.58x = 128,194,329.01
  5. Step 5: Solve for x
    x = 128,194,329.01/10,116.58
  6. Step 6: Final answer
    x = 12,671.71

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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.