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Finding the Fourth Proportional to 8,993.28, 12,416 and 5,685.76

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Solution

The fourth proportional to 8,993.28, 12,416 and 5,685.76 is: 7,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.28 : 12,416 = 5,685.76 : x
  2. Step 2: Convert to fraction form
    8,993.28/12,416 = 5,685.76/x
  3. Step 3: Cross multiply
    8,993.28x = 12,416 × 5,685.76
  4. Step 4: Simplify right side
    8,993.28x = 70,594,396.16
  5. Step 5: Solve for x
    x = 70,594,396.16/8,993.28
  6. Step 6: Final answer
    x = 7,849.68

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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.