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Finding the Fourth Proportional to 9,608.64, 13,259.96 and 5,359.95

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Solution

The fourth proportional to 9,608.64, 13,259.96 and 5,359.95 is: 7,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.64 : 13,259.96 = 5,359.95 : x
  2. Step 2: Convert to fraction form
    9,608.64/13,259.96 = 5,359.95/x
  3. Step 3: Cross multiply
    9,608.64x = 13,259.96 × 5,359.95
  4. Step 4: Simplify right side
    9,608.64x = 71,072,695.80
  5. Step 5: Solve for x
    x = 71,072,695.80/9,608.64
  6. Step 6: Final answer
    x = 7,396.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.