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Finding the Fourth Proportional to 8,925.42, 12,311.49 and 5,742.86

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Solution

The fourth proportional to 8,925.42, 12,311.49 and 5,742.86 is: 7,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.42 : 12,311.49 = 5,742.86 : x
  2. Step 2: Convert to fraction form
    8,925.42/12,311.49 = 5,742.86/x
  3. Step 3: Cross multiply
    8,925.42x = 12,311.49 × 5,742.86
  4. Step 4: Simplify right side
    8,925.42x = 70,703,134.75
  5. Step 5: Solve for x
    x = 70,703,134.75/8,925.42
  6. Step 6: Final answer
    x = 7,921.55

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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.