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Finding the Fourth Proportional to 9,284.14, 13,935.05 and 5,763.49

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Solution

The fourth proportional to 9,284.14, 13,935.05 and 5,763.49 is: 8,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.14 : 13,935.05 = 5,763.49 : x
  2. Step 2: Convert to fraction form
    9,284.14/13,935.05 = 5,763.49/x
  3. Step 3: Cross multiply
    9,284.14x = 13,935.05 × 5,763.49
  4. Step 4: Simplify right side
    9,284.14x = 80,314,463.07
  5. Step 5: Solve for x
    x = 80,314,463.07/9,284.14
  6. Step 6: Final answer
    x = 8,650.72

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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.