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Finding the Fourth Proportional to 9,346.98, 12,896.22 and 5,569.24

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Solution

The fourth proportional to 9,346.98, 12,896.22 and 5,569.24 is: 7,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.98 : 12,896.22 = 5,569.24 : x
  2. Step 2: Convert to fraction form
    9,346.98/12,896.22 = 5,569.24/x
  3. Step 3: Cross multiply
    9,346.98x = 12,896.22 × 5,569.24
  4. Step 4: Simplify right side
    9,346.98x = 71,822,144.27
  5. Step 5: Solve for x
    x = 71,822,144.27/9,346.98
  6. Step 6: Final answer
    x = 7,683.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.