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Finding the Fourth Proportional to 9,166.40, 12,649.64 and 4,974.65

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Solution

The fourth proportional to 9,166.40, 12,649.64 and 4,974.65 is: 6,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.40 : 12,649.64 = 4,974.65 : x
  2. Step 2: Convert to fraction form
    9,166.40/12,649.64 = 4,974.65/x
  3. Step 3: Cross multiply
    9,166.40x = 12,649.64 × 4,974.65
  4. Step 4: Simplify right side
    9,166.40x = 62,927,475.13
  5. Step 5: Solve for x
    x = 62,927,475.13/9,166.40
  6. Step 6: Final answer
    x = 6,865.02

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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.