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Finding the Fourth Proportional to 9,166.26, 12,649.47 and 4,974.51

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Solution

The fourth proportional to 9,166.26, 12,649.47 and 4,974.51 is: 6,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.26 : 12,649.47 = 4,974.51 : x
  2. Step 2: Convert to fraction form
    9,166.26/12,649.47 = 4,974.51/x
  3. Step 3: Cross multiply
    9,166.26x = 12,649.47 × 4,974.51
  4. Step 4: Simplify right side
    9,166.26x = 62,924,943.79
  5. Step 5: Solve for x
    x = 62,924,943.79/9,166.26
  6. Step 6: Final answer
    x = 6,864.84

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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.