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Finding the Fourth Proportional to 9,637.25, 14,452.97 and 4,090.50

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Solution

The fourth proportional to 9,637.25, 14,452.97 and 4,090.50 is: 6,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.25 : 14,452.97 = 4,090.50 : x
  2. Step 2: Convert to fraction form
    9,637.25/14,452.97 = 4,090.50/x
  3. Step 3: Cross multiply
    9,637.25x = 14,452.97 × 4,090.50
  4. Step 4: Simplify right side
    9,637.25x = 59,119,853.33
  5. Step 5: Solve for x
    x = 59,119,853.33/9,637.25
  6. Step 6: Final answer
    x = 6,134.52

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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.