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Finding the Fourth Proportional to 6,099.01, 9,148.31 and 2,586.76

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Solution

The fourth proportional to 6,099.01, 9,148.31 and 2,586.76 is: 3,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.01 : 9,148.31 = 2,586.76 : x
  2. Step 2: Convert to fraction form
    6,099.01/9,148.31 = 2,586.76/x
  3. Step 3: Cross multiply
    6,099.01x = 9,148.31 × 2,586.76
  4. Step 4: Simplify right side
    6,099.01x = 23,664,482.38
  5. Step 5: Solve for x
    x = 23,664,482.38/6,099.01
  6. Step 6: Final answer
    x = 3,880.05

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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.