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Finding the Fourth Proportional to 6,737.36, 9,293.16 and 5,320.60

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Solution

The fourth proportional to 6,737.36, 9,293.16 and 5,320.60 is: 7,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.36 : 9,293.16 = 5,320.60 : x
  2. Step 2: Convert to fraction form
    6,737.36/9,293.16 = 5,320.60/x
  3. Step 3: Cross multiply
    6,737.36x = 9,293.16 × 5,320.60
  4. Step 4: Simplify right side
    6,737.36x = 49,445,187.10
  5. Step 5: Solve for x
    x = 49,445,187.10/6,737.36
  6. Step 6: Final answer
    x = 7,338.96

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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.