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Finding the Fourth Proportional to 9,592.86, 14,358.62 and 5,139.44

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Solution

The fourth proportional to 9,592.86, 14,358.62 and 5,139.44 is: 7,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.86 : 14,358.62 = 5,139.44 : x
  2. Step 2: Convert to fraction form
    9,592.86/14,358.62 = 5,139.44/x
  3. Step 3: Cross multiply
    9,592.86x = 14,358.62 × 5,139.44
  4. Step 4: Simplify right side
    9,592.86x = 73,795,168.48
  5. Step 5: Solve for x
    x = 73,795,168.48/9,592.86
  6. Step 6: Final answer
    x = 7,692.72

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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.