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Finding the Fourth Proportional to 9,287.16, 13,932.14 and 3,365.44

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Solution

The fourth proportional to 9,287.16, 13,932.14 and 3,365.44 is: 5,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.16 : 13,932.14 = 3,365.44 : x
  2. Step 2: Convert to fraction form
    9,287.16/13,932.14 = 3,365.44/x
  3. Step 3: Cross multiply
    9,287.16x = 13,932.14 × 3,365.44
  4. Step 4: Simplify right side
    9,287.16x = 46,887,781.24
  5. Step 5: Solve for x
    x = 46,887,781.24/9,287.16
  6. Step 6: Final answer
    x = 5,048.67

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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.