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Finding the Fourth Proportional to 6,381.34, 9,572.47 and 1,701.33

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Solution

The fourth proportional to 6,381.34, 9,572.47 and 1,701.33 is: 2,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.34 : 9,572.47 = 1,701.33 : x
  2. Step 2: Convert to fraction form
    6,381.34/9,572.47 = 1,701.33/x
  3. Step 3: Cross multiply
    6,381.34x = 9,572.47 × 1,701.33
  4. Step 4: Simplify right side
    6,381.34x = 16,285,930.39
  5. Step 5: Solve for x
    x = 16,285,930.39/6,381.34
  6. Step 6: Final answer
    x = 2,552.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.