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Finding the Fourth Proportional to 9,023.68, 13,534.16 and 3,479.64

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Solution

The fourth proportional to 9,023.68, 13,534.16 and 3,479.64 is: 5,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.68 : 13,534.16 = 3,479.64 : x
  2. Step 2: Convert to fraction form
    9,023.68/13,534.16 = 3,479.64/x
  3. Step 3: Cross multiply
    9,023.68x = 13,534.16 × 3,479.64
  4. Step 4: Simplify right side
    9,023.68x = 47,094,004.50
  5. Step 5: Solve for x
    x = 47,094,004.50/9,023.68
  6. Step 6: Final answer
    x = 5,218.94

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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.