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Finding the Fourth Proportional to 9,463.35, 12,964.85 and 9,108.64

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Solution

The fourth proportional to 9,463.35, 12,964.85 and 9,108.64 is: 12,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.35 : 12,964.85 = 9,108.64 : x
  2. Step 2: Convert to fraction form
    9,463.35/12,964.85 = 9,108.64/x
  3. Step 3: Cross multiply
    9,463.35x = 12,964.85 × 9,108.64
  4. Step 4: Simplify right side
    9,463.35x = 118,092,040.94
  5. Step 5: Solve for x
    x = 118,092,040.94/9,463.35
  6. Step 6: Final answer
    x = 12,478.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.