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Finding the Fourth Proportional to 6,419.12, 8,855.76 and 4,323.92

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Solution

The fourth proportional to 6,419.12, 8,855.76 and 4,323.92 is: 5,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.12 : 8,855.76 = 4,323.92 : x
  2. Step 2: Convert to fraction form
    6,419.12/8,855.76 = 4,323.92/x
  3. Step 3: Cross multiply
    6,419.12x = 8,855.76 × 4,323.92
  4. Step 4: Simplify right side
    6,419.12x = 38,291,597.78
  5. Step 5: Solve for x
    x = 38,291,597.78/6,419.12
  6. Step 6: Final answer
    x = 5,965.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.