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Finding the Fourth Proportional to 9,958.57, 13,742.42 and 5,870.32

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Solution

The fourth proportional to 9,958.57, 13,742.42 and 5,870.32 is: 8,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.57 : 13,742.42 = 5,870.32 : x
  2. Step 2: Convert to fraction form
    9,958.57/13,742.42 = 5,870.32/x
  3. Step 3: Cross multiply
    9,958.57x = 13,742.42 × 5,870.32
  4. Step 4: Simplify right side
    9,958.57x = 80,672,339.27
  5. Step 5: Solve for x
    x = 80,672,339.27/9,958.57
  6. Step 6: Final answer
    x = 8,100.80

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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.