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Finding the Fourth Proportional to 6,335.72, 9,540.71 and 4,703.88

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Solution

The fourth proportional to 6,335.72, 9,540.71 and 4,703.88 is: 7,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.72 : 9,540.71 = 4,703.88 : x
  2. Step 2: Convert to fraction form
    6,335.72/9,540.71 = 4,703.88/x
  3. Step 3: Cross multiply
    6,335.72x = 9,540.71 × 4,703.88
  4. Step 4: Simplify right side
    6,335.72x = 44,878,354.95
  5. Step 5: Solve for x
    x = 44,878,354.95/6,335.72
  6. Step 6: Final answer
    x = 7,083.39

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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.