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Finding the Fourth Proportional to 9,157.35, 13,737.24 and 4,228.10

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Solution

The fourth proportional to 9,157.35, 13,737.24 and 4,228.10 is: 6,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.35 : 13,737.24 = 4,228.10 : x
  2. Step 2: Convert to fraction form
    9,157.35/13,737.24 = 4,228.10/x
  3. Step 3: Cross multiply
    9,157.35x = 13,737.24 × 4,228.10
  4. Step 4: Simplify right side
    9,157.35x = 58,082,355.76
  5. Step 5: Solve for x
    x = 58,082,355.76/9,157.35
  6. Step 6: Final answer
    x = 6,342.70

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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.