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Finding the Fourth Proportional to 9,464.18, 12,966 and 9,109.48

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Solution

The fourth proportional to 9,464.18, 12,966 and 9,109.48 is: 12,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.18 : 12,966 = 9,109.48 : x
  2. Step 2: Convert to fraction form
    9,464.18/12,966 = 9,109.48/x
  3. Step 3: Cross multiply
    9,464.18x = 12,966 × 9,109.48
  4. Step 4: Simplify right side
    9,464.18x = 118,113,517.68
  5. Step 5: Solve for x
    x = 118,113,517.68/9,464.18
  6. Step 6: Final answer
    x = 12,480.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.