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Finding the Fourth Proportional to 9,374.42, 12,936.30 and 5,182.64

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Solution

The fourth proportional to 9,374.42, 12,936.30 and 5,182.64 is: 7,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.42 : 12,936.30 = 5,182.64 : x
  2. Step 2: Convert to fraction form
    9,374.42/12,936.30 = 5,182.64/x
  3. Step 3: Cross multiply
    9,374.42x = 12,936.30 × 5,182.64
  4. Step 4: Simplify right side
    9,374.42x = 67,044,185.83
  5. Step 5: Solve for x
    x = 67,044,185.83/9,374.42
  6. Step 6: Final answer
    x = 7,151.82

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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.