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Finding the Fourth Proportional to 9,649.53, 14,470.65 and 4,105.49

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Solution

The fourth proportional to 9,649.53, 14,470.65 and 4,105.49 is: 6,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.53 : 14,470.65 = 4,105.49 : x
  2. Step 2: Convert to fraction form
    9,649.53/14,470.65 = 4,105.49/x
  3. Step 3: Cross multiply
    9,649.53x = 14,470.65 × 4,105.49
  4. Step 4: Simplify right side
    9,649.53x = 59,409,036.52
  5. Step 5: Solve for x
    x = 59,409,036.52/9,649.53
  6. Step 6: Final answer
    x = 6,156.68

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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.