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Finding the Fourth Proportional to 9,542.86, 14,298.73 and 4,856.43

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Solution

The fourth proportional to 9,542.86, 14,298.73 and 4,856.43 is: 7,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.86 : 14,298.73 = 4,856.43 : x
  2. Step 2: Convert to fraction form
    9,542.86/14,298.73 = 4,856.43/x
  3. Step 3: Cross multiply
    9,542.86x = 14,298.73 × 4,856.43
  4. Step 4: Simplify right side
    9,542.86x = 69,440,781.33
  5. Step 5: Solve for x
    x = 69,440,781.33/9,542.86
  6. Step 6: Final answer
    x = 7,276.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.