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Finding the Fourth Proportional to 9,263.68, 13,896.62 and 5,801.20

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Solution

The fourth proportional to 9,263.68, 13,896.62 and 5,801.20 is: 8,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.68 : 13,896.62 = 5,801.20 : x
  2. Step 2: Convert to fraction form
    9,263.68/13,896.62 = 5,801.20/x
  3. Step 3: Cross multiply
    9,263.68x = 13,896.62 × 5,801.20
  4. Step 4: Simplify right side
    9,263.68x = 80,617,071.94
  5. Step 5: Solve for x
    x = 80,617,071.94/9,263.68
  6. Step 6: Final answer
    x = 8,702.49

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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.