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Finding the Fourth Proportional to 8,909.64, 12,295.50 and 5,771.28

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Solution

The fourth proportional to 8,909.64, 12,295.50 and 5,771.28 is: 7,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.64 : 12,295.50 = 5,771.28 : x
  2. Step 2: Convert to fraction form
    8,909.64/12,295.50 = 5,771.28/x
  3. Step 3: Cross multiply
    8,909.64x = 12,295.50 × 5,771.28
  4. Step 4: Simplify right side
    8,909.64x = 70,960,773.24
  5. Step 5: Solve for x
    x = 70,960,773.24/8,909.64
  6. Step 6: Final answer
    x = 7,964.49

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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.