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Finding the Fourth Proportional to 6,985.41, 9,636.35 and 4,717.95

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Solution

The fourth proportional to 6,985.41, 9,636.35 and 4,717.95 is: 6,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.41 : 9,636.35 = 4,717.95 : x
  2. Step 2: Convert to fraction form
    6,985.41/9,636.35 = 4,717.95/x
  3. Step 3: Cross multiply
    6,985.41x = 9,636.35 × 4,717.95
  4. Step 4: Simplify right side
    6,985.41x = 45,463,793.89
  5. Step 5: Solve for x
    x = 45,463,793.89/6,985.41
  6. Step 6: Final answer
    x = 6,508.39

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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.