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Finding the Fourth Proportional to 9,883.13, 14,800.94 and 5,653.56

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Solution

The fourth proportional to 9,883.13, 14,800.94 and 5,653.56 is: 8,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.13 : 14,800.94 = 5,653.56 : x
  2. Step 2: Convert to fraction form
    9,883.13/14,800.94 = 5,653.56/x
  3. Step 3: Cross multiply
    9,883.13x = 14,800.94 × 5,653.56
  4. Step 4: Simplify right side
    9,883.13x = 83,677,974.08
  5. Step 5: Solve for x
    x = 83,677,974.08/9,883.13
  6. Step 6: Final answer
    x = 8,466.75

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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.