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Finding the Fourth Proportional to 9,205.60, 13,801.28 and 4,524.16

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Solution

The fourth proportional to 9,205.60, 13,801.28 and 4,524.16 is: 6,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.60 : 13,801.28 = 4,524.16 : x
  2. Step 2: Convert to fraction form
    9,205.60/13,801.28 = 4,524.16/x
  3. Step 3: Cross multiply
    9,205.60x = 13,801.28 × 4,524.16
  4. Step 4: Simplify right side
    9,205.60x = 62,439,198.92
  5. Step 5: Solve for x
    x = 62,439,198.92/9,205.60
  6. Step 6: Final answer
    x = 6,782.74

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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.