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Finding the Fourth Proportional to 6,417.36, 8,853.66 and 3,898.44

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Solution

The fourth proportional to 6,417.36, 8,853.66 and 3,898.44 is: 5,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.36 : 8,853.66 = 3,898.44 : x
  2. Step 2: Convert to fraction form
    6,417.36/8,853.66 = 3,898.44/x
  3. Step 3: Cross multiply
    6,417.36x = 8,853.66 × 3,898.44
  4. Step 4: Simplify right side
    6,417.36x = 34,515,462.29
  5. Step 5: Solve for x
    x = 34,515,462.29/6,417.36
  6. Step 6: Final answer
    x = 5,378.45

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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.