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Finding the Fourth Proportional to 9,453.84, 13,046.12 and 5,919

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Solution

The fourth proportional to 9,453.84, 13,046.12 and 5,919 is: 8,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.84 : 13,046.12 = 5,919 : x
  2. Step 2: Convert to fraction form
    9,453.84/13,046.12 = 5,919/x
  3. Step 3: Cross multiply
    9,453.84x = 13,046.12 × 5,919
  4. Step 4: Simplify right side
    9,453.84x = 77,219,954.69
  5. Step 5: Solve for x
    x = 77,219,954.69/9,453.84
  6. Step 6: Final answer
    x = 8,168.10

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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.