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Finding the Fourth Proportional to 9,644.68, 14,466.92 and 7,318.97

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Solution

The fourth proportional to 9,644.68, 14,466.92 and 7,318.97 is: 10,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.68 : 14,466.92 = 7,318.97 : x
  2. Step 2: Convert to fraction form
    9,644.68/14,466.92 = 7,318.97/x
  3. Step 3: Cross multiply
    9,644.68x = 14,466.92 × 7,318.97
  4. Step 4: Simplify right side
    9,644.68x = 105,882,980.49
  5. Step 5: Solve for x
    x = 105,882,980.49/9,644.68
  6. Step 6: Final answer
    x = 10,978.38

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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.