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Finding the Fourth Proportional to 9,034.50, 13,549.45 and 2,460.34

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Solution

The fourth proportional to 9,034.50, 13,549.45 and 2,460.34 is: 3,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.50 : 13,549.45 = 2,460.34 : x
  2. Step 2: Convert to fraction form
    9,034.50/13,549.45 = 2,460.34/x
  3. Step 3: Cross multiply
    9,034.50x = 13,549.45 × 2,460.34
  4. Step 4: Simplify right side
    9,034.50x = 33,336,253.81
  5. Step 5: Solve for x
    x = 33,336,253.81/9,034.50
  6. Step 6: Final answer
    x = 3,689.88

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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.