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Finding the Fourth Proportional to 9,166.29, 12,649.49 and 4,974.54

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Solution

The fourth proportional to 9,166.29, 12,649.49 and 4,974.54 is: 6,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.29 : 12,649.49 = 4,974.54 : x
  2. Step 2: Convert to fraction form
    9,166.29/12,649.49 = 4,974.54/x
  3. Step 3: Cross multiply
    9,166.29x = 12,649.49 × 4,974.54
  4. Step 4: Simplify right side
    9,166.29x = 62,925,389.90
  5. Step 5: Solve for x
    x = 62,925,389.90/9,166.29
  6. Step 6: Final answer
    x = 6,864.87

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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.