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Finding the Fourth Proportional to 9,166.39, 12,649.62 and 4,974.64

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Solution

The fourth proportional to 9,166.39, 12,649.62 and 4,974.64 is: 6,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.39 : 12,649.62 = 4,974.64 : x
  2. Step 2: Convert to fraction form
    9,166.39/12,649.62 = 4,974.64/x
  3. Step 3: Cross multiply
    9,166.39x = 12,649.62 × 4,974.64
  4. Step 4: Simplify right side
    9,166.39x = 62,927,305.64
  5. Step 5: Solve for x
    x = 62,927,305.64/9,166.39
  6. Step 6: Final answer
    x = 6,865.00

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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.