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Finding the Fourth Proportional to 9,672.01, 14,514.39 and 5,292.54

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Solution

The fourth proportional to 9,672.01, 14,514.39 and 5,292.54 is: 7,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.01 : 14,514.39 = 5,292.54 : x
  2. Step 2: Convert to fraction form
    9,672.01/14,514.39 = 5,292.54/x
  3. Step 3: Cross multiply
    9,672.01x = 14,514.39 × 5,292.54
  4. Step 4: Simplify right side
    9,672.01x = 76,817,989.65
  5. Step 5: Solve for x
    x = 76,817,989.65/9,672.01
  6. Step 6: Final answer
    x = 7,942.30

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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.