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Finding the Fourth Proportional to 6,087.64, 9,087.42 and 5,349.54

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Solution

The fourth proportional to 6,087.64, 9,087.42 and 5,349.54 is: 7,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.64 : 9,087.42 = 5,349.54 : x
  2. Step 2: Convert to fraction form
    6,087.64/9,087.42 = 5,349.54/x
  3. Step 3: Cross multiply
    6,087.64x = 9,087.42 × 5,349.54
  4. Step 4: Simplify right side
    6,087.64x = 48,613,516.79
  5. Step 5: Solve for x
    x = 48,613,516.79/6,087.64
  6. Step 6: Final answer
    x = 7,985.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.