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Finding the Fourth Proportional to 6,409.23, 9,597.78 and 4,062.12

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Solution

The fourth proportional to 6,409.23, 9,597.78 and 4,062.12 is: 6,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.23 : 9,597.78 = 4,062.12 : x
  2. Step 2: Convert to fraction form
    6,409.23/9,597.78 = 4,062.12/x
  3. Step 3: Cross multiply
    6,409.23x = 9,597.78 × 4,062.12
  4. Step 4: Simplify right side
    6,409.23x = 38,987,334.09
  5. Step 5: Solve for x
    x = 38,987,334.09/6,409.23
  6. Step 6: Final answer
    x = 6,083.00

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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.