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Finding the Fourth Proportional to 9,263.84, 13,887.84 and 3,721.28

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Solution

The fourth proportional to 9,263.84, 13,887.84 and 3,721.28 is: 5,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.84 : 13,887.84 = 3,721.28 : x
  2. Step 2: Convert to fraction form
    9,263.84/13,887.84 = 3,721.28/x
  3. Step 3: Cross multiply
    9,263.84x = 13,887.84 × 3,721.28
  4. Step 4: Simplify right side
    9,263.84x = 51,680,541.24
  5. Step 5: Solve for x
    x = 51,680,541.24/9,263.84
  6. Step 6: Final answer
    x = 5,578.74

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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.