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Finding the Fourth Proportional to 9,166.35, 12,649.59 and 4,974.60

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Solution

The fourth proportional to 9,166.35, 12,649.59 and 4,974.60 is: 6,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.35 : 12,649.59 = 4,974.60 : x
  2. Step 2: Convert to fraction form
    9,166.35/12,649.59 = 4,974.60/x
  3. Step 3: Cross multiply
    9,166.35x = 12,649.59 × 4,974.60
  4. Step 4: Simplify right side
    9,166.35x = 62,926,650.41
  5. Step 5: Solve for x
    x = 62,926,650.41/9,166.35
  6. Step 6: Final answer
    x = 6,864.96

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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.