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Finding the Fourth Proportional to 8,914.24, 12,307.25 and 5,728.96

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Solution

The fourth proportional to 8,914.24, 12,307.25 and 5,728.96 is: 7,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.24 : 12,307.25 = 5,728.96 : x
  2. Step 2: Convert to fraction form
    8,914.24/12,307.25 = 5,728.96/x
  3. Step 3: Cross multiply
    8,914.24x = 12,307.25 × 5,728.96
  4. Step 4: Simplify right side
    8,914.24x = 70,507,652.78
  5. Step 5: Solve for x
    x = 70,507,652.78/8,914.24
  6. Step 6: Final answer
    x = 7,909.56

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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.