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Finding the Fourth Proportional to 9,015.64, 12,449.50 and 5,664.26

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Solution

The fourth proportional to 9,015.64, 12,449.50 and 5,664.26 is: 7,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.64 : 12,449.50 = 5,664.26 : x
  2. Step 2: Convert to fraction form
    9,015.64/12,449.50 = 5,664.26/x
  3. Step 3: Cross multiply
    9,015.64x = 12,449.50 × 5,664.26
  4. Step 4: Simplify right side
    9,015.64x = 70,517,221.83
  5. Step 5: Solve for x
    x = 70,517,221.83/9,015.64
  6. Step 6: Final answer
    x = 7,821.66

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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.