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Finding the Fourth Proportional to 35,691.44, 53,539.79 and 9,396

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Solution

The fourth proportional to 35,691.44, 53,539.79 and 9,396 is: 14,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,691.44 : 53,539.79 = 9,396 : x
  2. Step 2: Convert to fraction form
    35,691.44/53,539.79 = 9,396/x
  3. Step 3: Cross multiply
    35,691.44x = 53,539.79 × 9,396
  4. Step 4: Simplify right side
    35,691.44x = 503,059,819.86
  5. Step 5: Solve for x
    x = 503,059,819.86/35,691.44
  6. Step 6: Final answer
    x = 14,094.69

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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.