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Finding the Fourth Proportional to 9,743, 13,445.34 and 6,017

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Solution

The fourth proportional to 9,743, 13,445.34 and 6,017 is: 8,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743 : 13,445.34 = 6,017 : x
  2. Step 2: Convert to fraction form
    9,743/13,445.34 = 6,017/x
  3. Step 3: Cross multiply
    9,743x = 13,445.34 × 6,017
  4. Step 4: Simplify right side
    9,743x = 80,900,610.78
  5. Step 5: Solve for x
    x = 80,900,610.78/9,743
  6. Step 6: Final answer
    x = 8,303.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.