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Finding the Fourth Proportional to 7,142.80, 9,856.34 and 4,118.26

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Solution

The fourth proportional to 7,142.80, 9,856.34 and 4,118.26 is: 5,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.80 : 9,856.34 = 4,118.26 : x
  2. Step 2: Convert to fraction form
    7,142.80/9,856.34 = 4,118.26/x
  3. Step 3: Cross multiply
    7,142.80x = 9,856.34 × 4,118.26
  4. Step 4: Simplify right side
    7,142.80x = 40,590,950.18
  5. Step 5: Solve for x
    x = 40,590,950.18/7,142.80
  6. Step 6: Final answer
    x = 5,682.78

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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.