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Finding the Fourth Proportional to 6,292.95, 9,476.88 and 5,481.03

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Solution

The fourth proportional to 6,292.95, 9,476.88 and 5,481.03 is: 8,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.95 : 9,476.88 = 5,481.03 : x
  2. Step 2: Convert to fraction form
    6,292.95/9,476.88 = 5,481.03/x
  3. Step 3: Cross multiply
    6,292.95x = 9,476.88 × 5,481.03
  4. Step 4: Simplify right side
    6,292.95x = 51,943,029.44
  5. Step 5: Solve for x
    x = 51,943,029.44/6,292.95
  6. Step 6: Final answer
    x = 8,254.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.