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Finding the Fourth Proportional to 9,719.97, 14,580.18 and 3,480.41

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Solution

The fourth proportional to 9,719.97, 14,580.18 and 3,480.41 is: 5,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.97 : 14,580.18 = 3,480.41 : x
  2. Step 2: Convert to fraction form
    9,719.97/14,580.18 = 3,480.41/x
  3. Step 3: Cross multiply
    9,719.97x = 14,580.18 × 3,480.41
  4. Step 4: Simplify right side
    9,719.97x = 50,745,040.72
  5. Step 5: Solve for x
    x = 50,745,040.72/9,719.97
  6. Step 6: Final answer
    x = 5,220.70

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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.