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Finding the Fourth Proportional to 9,348, 14,022.36 and 3,192

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Solution

The fourth proportional to 9,348, 14,022.36 and 3,192 is: 4,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348 : 14,022.36 = 3,192 : x
  2. Step 2: Convert to fraction form
    9,348/14,022.36 = 3,192/x
  3. Step 3: Cross multiply
    9,348x = 14,022.36 × 3,192
  4. Step 4: Simplify right side
    9,348x = 44,759,373.12
  5. Step 5: Solve for x
    x = 44,759,373.12/9,348
  6. Step 6: Final answer
    x = 4,788.12

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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.