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Finding the Fourth Proportional to 9,608.54, 13,260 and 5,360.28

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Solution

The fourth proportional to 9,608.54, 13,260 and 5,360.28 is: 7,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.54 : 13,260 = 5,360.28 : x
  2. Step 2: Convert to fraction form
    9,608.54/13,260 = 5,360.28/x
  3. Step 3: Cross multiply
    9,608.54x = 13,260 × 5,360.28
  4. Step 4: Simplify right side
    9,608.54x = 71,077,312.80
  5. Step 5: Solve for x
    x = 71,077,312.80/9,608.54
  6. Step 6: Final answer
    x = 7,397.31

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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.