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Finding the Fourth Proportional to 9,003.72, 13,506 and 2,763.48

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Solution

The fourth proportional to 9,003.72, 13,506 and 2,763.48 is: 4,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.72 : 13,506 = 2,763.48 : x
  2. Step 2: Convert to fraction form
    9,003.72/13,506 = 2,763.48/x
  3. Step 3: Cross multiply
    9,003.72x = 13,506 × 2,763.48
  4. Step 4: Simplify right side
    9,003.72x = 37,323,560.88
  5. Step 5: Solve for x
    x = 37,323,560.88/9,003.72
  6. Step 6: Final answer
    x = 4,145.35

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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.