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Finding the Fourth Proportional to 6,199.40, 9,332.96 and 5,655.08

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Solution

The fourth proportional to 6,199.40, 9,332.96 and 5,655.08 is: 8,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.40 : 9,332.96 = 5,655.08 : x
  2. Step 2: Convert to fraction form
    6,199.40/9,332.96 = 5,655.08/x
  3. Step 3: Cross multiply
    6,199.40x = 9,332.96 × 5,655.08
  4. Step 4: Simplify right side
    6,199.40x = 52,778,635.44
  5. Step 5: Solve for x
    x = 52,778,635.44/6,199.40
  6. Step 6: Final answer
    x = 8,513.51

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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.