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Finding the Fourth Proportional to 9,462.03, 14,182.11 and 5,514.63

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Solution

The fourth proportional to 9,462.03, 14,182.11 and 5,514.63 is: 8,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.03 : 14,182.11 = 5,514.63 : x
  2. Step 2: Convert to fraction form
    9,462.03/14,182.11 = 5,514.63/x
  3. Step 3: Cross multiply
    9,462.03x = 14,182.11 × 5,514.63
  4. Step 4: Simplify right side
    9,462.03x = 78,209,089.27
  5. Step 5: Solve for x
    x = 78,209,089.27/9,462.03
  6. Step 6: Final answer
    x = 8,265.57

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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.