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Finding the Fourth Proportional to 9,463.18, 12,964.62 and 9,108.48

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Solution

The fourth proportional to 9,463.18, 12,964.62 and 9,108.48 is: 12,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.18 : 12,964.62 = 9,108.48 : x
  2. Step 2: Convert to fraction form
    9,463.18/12,964.62 = 9,108.48/x
  3. Step 3: Cross multiply
    9,463.18x = 12,964.62 × 9,108.48
  4. Step 4: Simplify right side
    9,463.18x = 118,087,981.98
  5. Step 5: Solve for x
    x = 118,087,981.98/9,463.18
  6. Step 6: Final answer
    x = 12,478.68

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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.