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Finding the Fourth Proportional to 9,074.64, 13,612.32 and 3,876.96

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Solution

The fourth proportional to 9,074.64, 13,612.32 and 3,876.96 is: 5,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.64 : 13,612.32 = 3,876.96 : x
  2. Step 2: Convert to fraction form
    9,074.64/13,612.32 = 3,876.96/x
  3. Step 3: Cross multiply
    9,074.64x = 13,612.32 × 3,876.96
  4. Step 4: Simplify right side
    9,074.64x = 52,774,420.15
  5. Step 5: Solve for x
    x = 52,774,420.15/9,074.64
  6. Step 6: Final answer
    x = 5,815.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.