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Finding the Fourth Proportional to 9,612.30, 14,398.19 and 6,100.46

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Solution

The fourth proportional to 9,612.30, 14,398.19 and 6,100.46 is: 9,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.30 : 14,398.19 = 6,100.46 : x
  2. Step 2: Convert to fraction form
    9,612.30/14,398.19 = 6,100.46/x
  3. Step 3: Cross multiply
    9,612.30x = 14,398.19 × 6,100.46
  4. Step 4: Simplify right side
    9,612.30x = 87,835,556.54
  5. Step 5: Solve for x
    x = 87,835,556.54/9,612.30
  6. Step 6: Final answer
    x = 9,137.83

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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.