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Finding the Fourth Proportional to 9,652.14, 14,486.51 and 5,500.48

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Solution

The fourth proportional to 9,652.14, 14,486.51 and 5,500.48 is: 8,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.14 : 14,486.51 = 5,500.48 : x
  2. Step 2: Convert to fraction form
    9,652.14/14,486.51 = 5,500.48/x
  3. Step 3: Cross multiply
    9,652.14x = 14,486.51 × 5,500.48
  4. Step 4: Simplify right side
    9,652.14x = 79,682,758.52
  5. Step 5: Solve for x
    x = 79,682,758.52/9,652.14
  6. Step 6: Final answer
    x = 8,255.45

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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.