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Finding the Fourth Proportional to 9,166.44, 12,649.74 and 4,974.72

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Solution

The fourth proportional to 9,166.44, 12,649.74 and 4,974.72 is: 6,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.44 : 12,649.74 = 4,974.72 : x
  2. Step 2: Convert to fraction form
    9,166.44/12,649.74 = 4,974.72/x
  3. Step 3: Cross multiply
    9,166.44x = 12,649.74 × 4,974.72
  4. Step 4: Simplify right side
    9,166.44x = 62,928,914.57
  5. Step 5: Solve for x
    x = 62,928,914.57/9,166.44
  6. Step 6: Final answer
    x = 6,865.14

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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.