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Finding the Fourth Proportional to 9,374.25, 12,936.51 and 5,182.50

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Solution

The fourth proportional to 9,374.25, 12,936.51 and 5,182.50 is: 7,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.25 : 12,936.51 = 5,182.50 : x
  2. Step 2: Convert to fraction form
    9,374.25/12,936.51 = 5,182.50/x
  3. Step 3: Cross multiply
    9,374.25x = 12,936.51 × 5,182.50
  4. Step 4: Simplify right side
    9,374.25x = 67,043,463.08
  5. Step 5: Solve for x
    x = 67,043,463.08/9,374.25
  6. Step 6: Final answer
    x = 7,151.87

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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.