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Finding the Fourth Proportional to 8,942.90, 12,335.59 and 5,760.35

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Solution

The fourth proportional to 8,942.90, 12,335.59 and 5,760.35 is: 7,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.90 : 12,335.59 = 5,760.35 : x
  2. Step 2: Convert to fraction form
    8,942.90/12,335.59 = 5,760.35/x
  3. Step 3: Cross multiply
    8,942.90x = 12,335.59 × 5,760.35
  4. Step 4: Simplify right side
    8,942.90x = 71,057,315.86
  5. Step 5: Solve for x
    x = 71,057,315.86/8,942.90
  6. Step 6: Final answer
    x = 7,945.67

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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.