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Finding the Fourth Proportional to 6,266.84, 9,387.49 and 2,969.93

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Solution

The fourth proportional to 6,266.84, 9,387.49 and 2,969.93 is: 4,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.84 : 9,387.49 = 2,969.93 : x
  2. Step 2: Convert to fraction form
    6,266.84/9,387.49 = 2,969.93/x
  3. Step 3: Cross multiply
    6,266.84x = 9,387.49 × 2,969.93
  4. Step 4: Simplify right side
    6,266.84x = 27,880,188.18
  5. Step 5: Solve for x
    x = 27,880,188.18/6,266.84
  6. Step 6: Final answer
    x = 4,448.84

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Why These Related Problems?

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