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Finding the Fourth Proportional to 9,330.78, 12,868.02 and 6,181.50

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Solution

The fourth proportional to 9,330.78, 12,868.02 and 6,181.50 is: 8,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.78 : 12,868.02 = 6,181.50 : x
  2. Step 2: Convert to fraction form
    9,330.78/12,868.02 = 6,181.50/x
  3. Step 3: Cross multiply
    9,330.78x = 12,868.02 × 6,181.50
  4. Step 4: Simplify right side
    9,330.78x = 79,543,665.63
  5. Step 5: Solve for x
    x = 79,543,665.63/9,330.78
  6. Step 6: Final answer
    x = 8,524.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.