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Finding the Fourth Proportional to 9,041.49, 13,564.31 and 3,494.88

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Solution

The fourth proportional to 9,041.49, 13,564.31 and 3,494.88 is: 5,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.49 : 13,564.31 = 3,494.88 : x
  2. Step 2: Convert to fraction form
    9,041.49/13,564.31 = 3,494.88/x
  3. Step 3: Cross multiply
    9,041.49x = 13,564.31 × 3,494.88
  4. Step 4: Simplify right side
    9,041.49x = 47,405,618.26
  5. Step 5: Solve for x
    x = 47,405,618.26/9,041.49
  6. Step 6: Final answer
    x = 5,243.12

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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.