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Finding the Fourth Proportional to 9,354.57, 14,031.99 and 9,340.80

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Solution

The fourth proportional to 9,354.57, 14,031.99 and 9,340.80 is: 14,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.57 : 14,031.99 = 9,340.80 : x
  2. Step 2: Convert to fraction form
    9,354.57/14,031.99 = 9,340.80/x
  3. Step 3: Cross multiply
    9,354.57x = 14,031.99 × 9,340.80
  4. Step 4: Simplify right side
    9,354.57x = 131,070,012.19
  5. Step 5: Solve for x
    x = 131,070,012.19/9,354.57
  6. Step 6: Final answer
    x = 14,011.33

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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.