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Finding the Fourth Proportional to 6,899.66, 9,524.44 and 4,664.58

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Solution

The fourth proportional to 6,899.66, 9,524.44 and 4,664.58 is: 6,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.66 : 9,524.44 = 4,664.58 : x
  2. Step 2: Convert to fraction form
    6,899.66/9,524.44 = 4,664.58/x
  3. Step 3: Cross multiply
    6,899.66x = 9,524.44 × 4,664.58
  4. Step 4: Simplify right side
    6,899.66x = 44,427,512.34
  5. Step 5: Solve for x
    x = 44,427,512.34/6,899.66
  6. Step 6: Final answer
    x = 6,439.09

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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.