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Finding the Fourth Proportional to 6,335.61, 8,742.99 and 3,683.94

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Solution

The fourth proportional to 6,335.61, 8,742.99 and 3,683.94 is: 5,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.61 : 8,742.99 = 3,683.94 : x
  2. Step 2: Convert to fraction form
    6,335.61/8,742.99 = 3,683.94/x
  3. Step 3: Cross multiply
    6,335.61x = 8,742.99 × 3,683.94
  4. Step 4: Simplify right side
    6,335.61x = 32,208,650.58
  5. Step 5: Solve for x
    x = 32,208,650.58/6,335.61
  6. Step 6: Final answer
    x = 5,083.75

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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.