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Finding the Fourth Proportional to 9,578.34, 14,367.75 and 2,652.90

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Solution

The fourth proportional to 9,578.34, 14,367.75 and 2,652.90 is: 3,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.34 : 14,367.75 = 2,652.90 : x
  2. Step 2: Convert to fraction form
    9,578.34/14,367.75 = 2,652.90/x
  3. Step 3: Cross multiply
    9,578.34x = 14,367.75 × 2,652.90
  4. Step 4: Simplify right side
    9,578.34x = 38,116,203.98
  5. Step 5: Solve for x
    x = 38,116,203.98/9,578.34
  6. Step 6: Final answer
    x = 3,979.42

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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.