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Finding the Fourth Proportional to 35,693, 53,542.80 and 9,397.88

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Solution

The fourth proportional to 35,693, 53,542.80 and 9,397.88 is: 14,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,693 : 53,542.80 = 9,397.88 : x
  2. Step 2: Convert to fraction form
    35,693/53,542.80 = 9,397.88/x
  3. Step 3: Cross multiply
    35,693x = 53,542.80 × 9,397.88
  4. Step 4: Simplify right side
    35,693x = 503,188,809.26
  5. Step 5: Solve for x
    x = 503,188,809.26/35,693
  6. Step 6: Final answer
    x = 14,097.69

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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.