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Finding the Fourth Proportional to 9,038.74, 13,560.57 and 3,772

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Solution

The fourth proportional to 9,038.74, 13,560.57 and 3,772 is: 5,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.74 : 13,560.57 = 3,772 : x
  2. Step 2: Convert to fraction form
    9,038.74/13,560.57 = 3,772/x
  3. Step 3: Cross multiply
    9,038.74x = 13,560.57 × 3,772
  4. Step 4: Simplify right side
    9,038.74x = 51,150,470.04
  5. Step 5: Solve for x
    x = 51,150,470.04/9,038.74
  6. Step 6: Final answer
    x = 5,659.03

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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.