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Finding the Fourth Proportional to 6,099.34, 9,152.64 and 5,603.62

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Solution

The fourth proportional to 6,099.34, 9,152.64 and 5,603.62 is: 8,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.34 : 9,152.64 = 5,603.62 : x
  2. Step 2: Convert to fraction form
    6,099.34/9,152.64 = 5,603.62/x
  3. Step 3: Cross multiply
    6,099.34x = 9,152.64 × 5,603.62
  4. Step 4: Simplify right side
    6,099.34x = 51,287,916.56
  5. Step 5: Solve for x
    x = 51,287,916.56/6,099.34
  6. Step 6: Final answer
    x = 8,408.76

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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.