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Finding the Fourth Proportional to 6,525.92, 9,003.42 and 4,289

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Solution

The fourth proportional to 6,525.92, 9,003.42 and 4,289 is: 5,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.92 : 9,003.42 = 4,289 : x
  2. Step 2: Convert to fraction form
    6,525.92/9,003.42 = 4,289/x
  3. Step 3: Cross multiply
    6,525.92x = 9,003.42 × 4,289
  4. Step 4: Simplify right side
    6,525.92x = 38,615,668.38
  5. Step 5: Solve for x
    x = 38,615,668.38/6,525.92
  6. Step 6: Final answer
    x = 5,917.28

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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.