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Finding the Fourth Proportional to 9,052.32, 13,578.51 and 3,209.10

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Solution

The fourth proportional to 9,052.32, 13,578.51 and 3,209.10 is: 4,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.32 : 13,578.51 = 3,209.10 : x
  2. Step 2: Convert to fraction form
    9,052.32/13,578.51 = 3,209.10/x
  3. Step 3: Cross multiply
    9,052.32x = 13,578.51 × 3,209.10
  4. Step 4: Simplify right side
    9,052.32x = 43,574,796.44
  5. Step 5: Solve for x
    x = 43,574,796.44/9,052.32
  6. Step 6: Final answer
    x = 4,813.66

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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.