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Finding the Fourth Proportional to 9,089.64, 13,635.72 and 3,247.20

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Solution

The fourth proportional to 9,089.64, 13,635.72 and 3,247.20 is: 4,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.64 : 13,635.72 = 3,247.20 : x
  2. Step 2: Convert to fraction form
    9,089.64/13,635.72 = 3,247.20/x
  3. Step 3: Cross multiply
    9,089.64x = 13,635.72 × 3,247.20
  4. Step 4: Simplify right side
    9,089.64x = 44,277,909.98
  5. Step 5: Solve for x
    x = 44,277,909.98/9,089.64
  6. Step 6: Final answer
    x = 4,871.25

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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.