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Finding the Fourth Proportional to 6,656.41, 9,967.54 and 6,459.33

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Solution

The fourth proportional to 6,656.41, 9,967.54 and 6,459.33 is: 9,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.41 : 9,967.54 = 6,459.33 : x
  2. Step 2: Convert to fraction form
    6,656.41/9,967.54 = 6,459.33/x
  3. Step 3: Cross multiply
    6,656.41x = 9,967.54 × 6,459.33
  4. Step 4: Simplify right side
    6,656.41x = 64,383,638.92
  5. Step 5: Solve for x
    x = 64,383,638.92/6,656.41
  6. Step 6: Final answer
    x = 9,672.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.