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Finding the Fourth Proportional to 9,794.15, 13,516.31 and 5,545.39

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Solution

The fourth proportional to 9,794.15, 13,516.31 and 5,545.39 is: 7,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.15 : 13,516.31 = 5,545.39 : x
  2. Step 2: Convert to fraction form
    9,794.15/13,516.31 = 5,545.39/x
  3. Step 3: Cross multiply
    9,794.15x = 13,516.31 × 5,545.39
  4. Step 4: Simplify right side
    9,794.15x = 74,953,210.31
  5. Step 5: Solve for x
    x = 74,953,210.31/9,794.15
  6. Step 6: Final answer
    x = 7,652.86

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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.