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Finding the Fourth Proportional to 9,534, 14,301.48 and 3,378.48

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Solution

The fourth proportional to 9,534, 14,301.48 and 3,378.48 is: 5,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534 : 14,301.48 = 3,378.48 : x
  2. Step 2: Convert to fraction form
    9,534/14,301.48 = 3,378.48/x
  3. Step 3: Cross multiply
    9,534x = 14,301.48 × 3,378.48
  4. Step 4: Simplify right side
    9,534x = 48,317,264.15
  5. Step 5: Solve for x
    x = 48,317,264.15/9,534
  6. Step 6: Final answer
    x = 5,067.89

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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.