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Finding the Fourth Proportional to 9,029.53, 13,535.07 and 3,480.70

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Solution

The fourth proportional to 9,029.53, 13,535.07 and 3,480.70 is: 5,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.53 : 13,535.07 = 3,480.70 : x
  2. Step 2: Convert to fraction form
    9,029.53/13,535.07 = 3,480.70/x
  3. Step 3: Cross multiply
    9,029.53x = 13,535.07 × 3,480.70
  4. Step 4: Simplify right side
    9,029.53x = 47,111,518.15
  5. Step 5: Solve for x
    x = 47,111,518.15/9,029.53
  6. Step 6: Final answer
    x = 5,217.49

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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.