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Finding the Fourth Proportional to 9,264.39, 12,790.76 and 6,083.34

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Solution

The fourth proportional to 9,264.39, 12,790.76 and 6,083.34 is: 8,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.39 : 12,790.76 = 6,083.34 : x
  2. Step 2: Convert to fraction form
    9,264.39/12,790.76 = 6,083.34/x
  3. Step 3: Cross multiply
    9,264.39x = 12,790.76 × 6,083.34
  4. Step 4: Simplify right side
    9,264.39x = 77,810,477.98
  5. Step 5: Solve for x
    x = 77,810,477.98/9,264.39
  6. Step 6: Final answer
    x = 8,398.88

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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.