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Finding the Fourth Proportional to 9,702.27, 14,553.27 and 5,533.38

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Solution

The fourth proportional to 9,702.27, 14,553.27 and 5,533.38 is: 8,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.27 : 14,553.27 = 5,533.38 : x
  2. Step 2: Convert to fraction form
    9,702.27/14,553.27 = 5,533.38/x
  3. Step 3: Cross multiply
    9,702.27x = 14,553.27 × 5,533.38
  4. Step 4: Simplify right side
    9,702.27x = 80,528,773.15
  5. Step 5: Solve for x
    x = 80,528,773.15/9,702.27
  6. Step 6: Final answer
    x = 8,299.99

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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.