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Finding the Fourth Proportional to 8,913.75, 12,306.70 and 5,728.42

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Solution

The fourth proportional to 8,913.75, 12,306.70 and 5,728.42 is: 7,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.75 : 12,306.70 = 5,728.42 : x
  2. Step 2: Convert to fraction form
    8,913.75/12,306.70 = 5,728.42/x
  3. Step 3: Cross multiply
    8,913.75x = 12,306.70 × 5,728.42
  4. Step 4: Simplify right side
    8,913.75x = 70,497,968.96
  5. Step 5: Solve for x
    x = 70,497,968.96/8,913.75
  6. Step 6: Final answer
    x = 7,908.90

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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.