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Finding the Fourth Proportional to 7,101.95, 9,793.10 and 4,739.99

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Solution

The fourth proportional to 7,101.95, 9,793.10 and 4,739.99 is: 6,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.95 : 9,793.10 = 4,739.99 : x
  2. Step 2: Convert to fraction form
    7,101.95/9,793.10 = 4,739.99/x
  3. Step 3: Cross multiply
    7,101.95x = 9,793.10 × 4,739.99
  4. Step 4: Simplify right side
    7,101.95x = 46,419,158.95
  5. Step 5: Solve for x
    x = 46,419,158.95/7,101.95
  6. Step 6: Final answer
    x = 6,536.12

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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.