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Finding the Fourth Proportional to 9,149.42, 12,626.28 and 4,957.67

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Solution

The fourth proportional to 9,149.42, 12,626.28 and 4,957.67 is: 6,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.42 : 12,626.28 = 4,957.67 : x
  2. Step 2: Convert to fraction form
    9,149.42/12,626.28 = 4,957.67/x
  3. Step 3: Cross multiply
    9,149.42x = 12,626.28 × 4,957.67
  4. Step 4: Simplify right side
    9,149.42x = 62,596,961.13
  5. Step 5: Solve for x
    x = 62,596,961.13/9,149.42
  6. Step 6: Final answer
    x = 6,841.63

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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.