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Finding the Fourth Proportional to 9,374.84, 12,938.74 and 5,395.11

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Solution

The fourth proportional to 9,374.84, 12,938.74 and 5,395.11 is: 7,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.84 : 12,938.74 = 5,395.11 : x
  2. Step 2: Convert to fraction form
    9,374.84/12,938.74 = 5,395.11/x
  3. Step 3: Cross multiply
    9,374.84x = 12,938.74 × 5,395.11
  4. Step 4: Simplify right side
    9,374.84x = 69,805,863.55
  5. Step 5: Solve for x
    x = 69,805,863.55/9,374.84
  6. Step 6: Final answer
    x = 7,446.09

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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.