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Finding the Fourth Proportional to 6,117.87, 9,217.61 and 5,533.54

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Solution

The fourth proportional to 6,117.87, 9,217.61 and 5,533.54 is: 8,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.87 : 9,217.61 = 5,533.54 : x
  2. Step 2: Convert to fraction form
    6,117.87/9,217.61 = 5,533.54/x
  3. Step 3: Cross multiply
    6,117.87x = 9,217.61 × 5,533.54
  4. Step 4: Simplify right side
    6,117.87x = 51,006,013.64
  5. Step 5: Solve for x
    x = 51,006,013.64/6,117.87
  6. Step 6: Final answer
    x = 8,337.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.