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Finding the Fourth Proportional to 9,672.70, 14,514.45 and 4,125.10

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Solution

The fourth proportional to 9,672.70, 14,514.45 and 4,125.10 is: 6,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.70 : 14,514.45 = 4,125.10 : x
  2. Step 2: Convert to fraction form
    9,672.70/14,514.45 = 4,125.10/x
  3. Step 3: Cross multiply
    9,672.70x = 14,514.45 × 4,125.10
  4. Step 4: Simplify right side
    9,672.70x = 59,873,557.70
  5. Step 5: Solve for x
    x = 59,873,557.70/9,672.70
  6. Step 6: Final answer
    x = 6,189.95

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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.