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Finding the Fourth Proportional to 9,374.40, 12,935.61 and 5,396.09

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Solution

The fourth proportional to 9,374.40, 12,935.61 and 5,396.09 is: 7,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.40 : 12,935.61 = 5,396.09 : x
  2. Step 2: Convert to fraction form
    9,374.40/12,935.61 = 5,396.09/x
  3. Step 3: Cross multiply
    9,374.40x = 12,935.61 × 5,396.09
  4. Step 4: Simplify right side
    9,374.40x = 69,801,651.09
  5. Step 5: Solve for x
    x = 69,801,651.09/9,374.40
  6. Step 6: Final answer
    x = 7,445.99

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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.