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Finding the Fourth Proportional to 9,352.69, 14,031.34 and 2,778.86

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Solution

The fourth proportional to 9,352.69, 14,031.34 and 2,778.86 is: 4,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.69 : 14,031.34 = 2,778.86 : x
  2. Step 2: Convert to fraction form
    9,352.69/14,031.34 = 2,778.86/x
  3. Step 3: Cross multiply
    9,352.69x = 14,031.34 × 2,778.86
  4. Step 4: Simplify right side
    9,352.69x = 38,991,129.47
  5. Step 5: Solve for x
    x = 38,991,129.47/9,352.69
  6. Step 6: Final answer
    x = 4,168.97

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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.