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Finding the Fourth Proportional to 6,419.25, 8,853.71 and 4,433.13

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Solution

The fourth proportional to 6,419.25, 8,853.71 and 4,433.13 is: 6,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.25 : 8,853.71 = 4,433.13 : x
  2. Step 2: Convert to fraction form
    6,419.25/8,853.71 = 4,433.13/x
  3. Step 3: Cross multiply
    6,419.25x = 8,853.71 × 4,433.13
  4. Step 4: Simplify right side
    6,419.25x = 39,249,625.25
  5. Step 5: Solve for x
    x = 39,249,625.25/6,419.25
  6. Step 6: Final answer
    x = 6,114.36

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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.