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Finding the Fourth Proportional to 9,050.56, 12,478.13 and 5,858.20

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Solution

The fourth proportional to 9,050.56, 12,478.13 and 5,858.20 is: 8,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.56 : 12,478.13 = 5,858.20 : x
  2. Step 2: Convert to fraction form
    9,050.56/12,478.13 = 5,858.20/x
  3. Step 3: Cross multiply
    9,050.56x = 12,478.13 × 5,858.20
  4. Step 4: Simplify right side
    9,050.56x = 73,099,381.17
  5. Step 5: Solve for x
    x = 73,099,381.17/9,050.56
  6. Step 6: Final answer
    x = 8,076.78

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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.