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Finding the Fourth Proportional to 6,219.84, 9,333 and 2,931.24

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Solution

The fourth proportional to 6,219.84, 9,333 and 2,931.24 is: 4,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.84 : 9,333 = 2,931.24 : x
  2. Step 2: Convert to fraction form
    6,219.84/9,333 = 2,931.24/x
  3. Step 3: Cross multiply
    6,219.84x = 9,333 × 2,931.24
  4. Step 4: Simplify right side
    6,219.84x = 27,357,262.92
  5. Step 5: Solve for x
    x = 27,357,262.92/6,219.84
  6. Step 6: Final answer
    x = 4,398.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.