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Finding the Fourth Proportional to 6,384.84, 9,574.89 and 2,223.78

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Solution

The fourth proportional to 6,384.84, 9,574.89 and 2,223.78 is: 3,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.84 : 9,574.89 = 2,223.78 : x
  2. Step 2: Convert to fraction form
    6,384.84/9,574.89 = 2,223.78/x
  3. Step 3: Cross multiply
    6,384.84x = 9,574.89 × 2,223.78
  4. Step 4: Simplify right side
    6,384.84x = 21,292,448.88
  5. Step 5: Solve for x
    x = 21,292,448.88/6,384.84
  6. Step 6: Final answer
    x = 3,334.84

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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.