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Finding the Fourth Proportional to 9,373.84, 12,936.40 and 5,182

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Solution

The fourth proportional to 9,373.84, 12,936.40 and 5,182 is: 7,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373.84 : 12,936.40 = 5,182 : x
  2. Step 2: Convert to fraction form
    9,373.84/12,936.40 = 5,182/x
  3. Step 3: Cross multiply
    9,373.84x = 12,936.40 × 5,182
  4. Step 4: Simplify right side
    9,373.84x = 67,036,424.80
  5. Step 5: Solve for x
    x = 67,036,424.80/9,373.84
  6. Step 6: Final answer
    x = 7,151.44

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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.