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Finding the Fourth Proportional to 9,650.88, 14,500.52 and 6,142.40

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Solution

The fourth proportional to 9,650.88, 14,500.52 and 6,142.40 is: 9,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.88 : 14,500.52 = 6,142.40 : x
  2. Step 2: Convert to fraction form
    9,650.88/14,500.52 = 6,142.40/x
  3. Step 3: Cross multiply
    9,650.88x = 14,500.52 × 6,142.40
  4. Step 4: Simplify right side
    9,650.88x = 89,067,994.05
  5. Step 5: Solve for x
    x = 89,067,994.05/9,650.88
  6. Step 6: Final answer
    x = 9,229.00

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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.