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Finding the Fourth Proportional to 9,430.92, 14,117.22 and 8,031.24

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Solution

The fourth proportional to 9,430.92, 14,117.22 and 8,031.24 is: 12,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.92 : 14,117.22 = 8,031.24 : x
  2. Step 2: Convert to fraction form
    9,430.92/14,117.22 = 8,031.24/x
  3. Step 3: Cross multiply
    9,430.92x = 14,117.22 × 8,031.24
  4. Step 4: Simplify right side
    9,430.92x = 113,378,781.95
  5. Step 5: Solve for x
    x = 113,378,781.95/9,430.92
  6. Step 6: Final answer
    x = 12,022.03

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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.