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Finding the Fourth Proportional to 9,855.70, 13,600.56 and 5,606.86

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Solution

The fourth proportional to 9,855.70, 13,600.56 and 5,606.86 is: 7,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.70 : 13,600.56 = 5,606.86 : x
  2. Step 2: Convert to fraction form
    9,855.70/13,600.56 = 5,606.86/x
  3. Step 3: Cross multiply
    9,855.70x = 13,600.56 × 5,606.86
  4. Step 4: Simplify right side
    9,855.70x = 76,256,435.84
  5. Step 5: Solve for x
    x = 76,256,435.84/9,855.70
  6. Step 6: Final answer
    x = 7,737.29

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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.