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Finding the Fourth Proportional to 9,376.62, 12,942.53 and 5,400.53

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Solution

The fourth proportional to 9,376.62, 12,942.53 and 5,400.53 is: 7,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.62 : 12,942.53 = 5,400.53 : x
  2. Step 2: Convert to fraction form
    9,376.62/12,942.53 = 5,400.53/x
  3. Step 3: Cross multiply
    9,376.62x = 12,942.53 × 5,400.53
  4. Step 4: Simplify right side
    9,376.62x = 69,896,429.83
  5. Step 5: Solve for x
    x = 69,896,429.83/9,376.62
  6. Step 6: Final answer
    x = 7,454.33

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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.