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Finding the Fourth Proportional to 9,854.69, 13,600.62 and 5,606.39

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Solution

The fourth proportional to 9,854.69, 13,600.62 and 5,606.39 is: 7,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.69 : 13,600.62 = 5,606.39 : x
  2. Step 2: Convert to fraction form
    9,854.69/13,600.62 = 5,606.39/x
  3. Step 3: Cross multiply
    9,854.69x = 13,600.62 × 5,606.39
  4. Step 4: Simplify right side
    9,854.69x = 76,250,379.96
  5. Step 5: Solve for x
    x = 76,250,379.96/9,854.69
  6. Step 6: Final answer
    x = 7,737.47

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Why These Related Problems?

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