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Finding the Fourth Proportional to 6,407.24, 9,598.42 and 4,209.30

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Solution

The fourth proportional to 6,407.24, 9,598.42 and 4,209.30 is: 6,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.24 : 9,598.42 = 4,209.30 : x
  2. Step 2: Convert to fraction form
    6,407.24/9,598.42 = 4,209.30/x
  3. Step 3: Cross multiply
    6,407.24x = 9,598.42 × 4,209.30
  4. Step 4: Simplify right side
    6,407.24x = 40,402,629.31
  5. Step 5: Solve for x
    x = 40,402,629.31/6,407.24
  6. Step 6: Final answer
    x = 6,305.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.