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Finding the Fourth Proportional to 7,142.88, 9,858.12 and 4,311.86

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Solution

The fourth proportional to 7,142.88, 9,858.12 and 4,311.86 is: 5,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.88 : 9,858.12 = 4,311.86 : x
  2. Step 2: Convert to fraction form
    7,142.88/9,858.12 = 4,311.86/x
  3. Step 3: Cross multiply
    7,142.88x = 9,858.12 × 4,311.86
  4. Step 4: Simplify right side
    7,142.88x = 42,506,833.30
  5. Step 5: Solve for x
    x = 42,506,833.30/7,142.88
  6. Step 6: Final answer
    x = 5,950.94

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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.