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Finding the Fourth Proportional to 9,253.01, 13,879.65 and 4,322

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Solution

The fourth proportional to 9,253.01, 13,879.65 and 4,322 is: 6,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.01 : 13,879.65 = 4,322 : x
  2. Step 2: Convert to fraction form
    9,253.01/13,879.65 = 4,322/x
  3. Step 3: Cross multiply
    9,253.01x = 13,879.65 × 4,322
  4. Step 4: Simplify right side
    9,253.01x = 59,987,847.30
  5. Step 5: Solve for x
    x = 59,987,847.30/9,253.01
  6. Step 6: Final answer
    x = 6,483.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.