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Finding the Fourth Proportional to 9,612.71, 14,418.75 and 4,064.54

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Solution

The fourth proportional to 9,612.71, 14,418.75 and 4,064.54 is: 6,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.71 : 14,418.75 = 4,064.54 : x
  2. Step 2: Convert to fraction form
    9,612.71/14,418.75 = 4,064.54/x
  3. Step 3: Cross multiply
    9,612.71x = 14,418.75 × 4,064.54
  4. Step 4: Simplify right side
    9,612.71x = 58,605,586.13
  5. Step 5: Solve for x
    x = 58,605,586.13/9,612.71
  6. Step 6: Final answer
    x = 6,096.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.