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Finding the Fourth Proportional to 9,676.98, 13,355.01 and 6,532.02

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Solution

The fourth proportional to 9,676.98, 13,355.01 and 6,532.02 is: 9,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.98 : 13,355.01 = 6,532.02 : x
  2. Step 2: Convert to fraction form
    9,676.98/13,355.01 = 6,532.02/x
  3. Step 3: Cross multiply
    9,676.98x = 13,355.01 × 6,532.02
  4. Step 4: Simplify right side
    9,676.98x = 87,235,192.42
  5. Step 5: Solve for x
    x = 87,235,192.42/9,676.98
  6. Step 6: Final answer
    x = 9,014.71

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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.