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Finding the Fourth Proportional to 9,264, 13,884.48 and 4,064.64

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Solution

The fourth proportional to 9,264, 13,884.48 and 4,064.64 is: 6,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264 : 13,884.48 = 4,064.64 : x
  2. Step 2: Convert to fraction form
    9,264/13,884.48 = 4,064.64/x
  3. Step 3: Cross multiply
    9,264x = 13,884.48 × 4,064.64
  4. Step 4: Simplify right side
    9,264x = 56,435,412.79
  5. Step 5: Solve for x
    x = 56,435,412.79/9,264
  6. Step 6: Final answer
    x = 6,091.91

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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.