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Finding the Fourth Proportional to 9,822, 14,727.11 and 6,663.32

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Solution

The fourth proportional to 9,822, 14,727.11 and 6,663.32 is: 9,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 14,727.11 = 6,663.32 : x
  2. Step 2: Convert to fraction form
    9,822/14,727.11 = 6,663.32/x
  3. Step 3: Cross multiply
    9,822x = 14,727.11 × 6,663.32
  4. Step 4: Simplify right side
    9,822x = 98,131,446.61
  5. Step 5: Solve for x
    x = 98,131,446.61/9,822
  6. Step 6: Final answer
    x = 9,990.98

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Why These Related Problems?

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