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Finding the Fourth Proportional to 9,031.70, 13,549.62 and 3,767.63

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Solution

The fourth proportional to 9,031.70, 13,549.62 and 3,767.63 is: 5,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.70 : 13,549.62 = 3,767.63 : x
  2. Step 2: Convert to fraction form
    9,031.70/13,549.62 = 3,767.63/x
  3. Step 3: Cross multiply
    9,031.70x = 13,549.62 × 3,767.63
  4. Step 4: Simplify right side
    9,031.70x = 51,049,954.80
  5. Step 5: Solve for x
    x = 51,049,954.80/9,031.70
  6. Step 6: Final answer
    x = 5,652.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.