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Finding the Fourth Proportional to 9,644.18, 14,466.17 and 7,318.47

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Solution

The fourth proportional to 9,644.18, 14,466.17 and 7,318.47 is: 10,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.18 : 14,466.17 = 7,318.47 : x
  2. Step 2: Convert to fraction form
    9,644.18/14,466.17 = 7,318.47/x
  3. Step 3: Cross multiply
    9,644.18x = 14,466.17 × 7,318.47
  4. Step 4: Simplify right side
    9,644.18x = 105,870,285.62
  5. Step 5: Solve for x
    x = 105,870,285.62/9,644.18
  6. Step 6: Final answer
    x = 10,977.63

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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.