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Finding the Fourth Proportional to 35,743.38, 53,615.27 and 9,447.84

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Solution

The fourth proportional to 35,743.38, 53,615.27 and 9,447.84 is: 14,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743.38 : 53,615.27 = 9,447.84 : x
  2. Step 2: Convert to fraction form
    35,743.38/53,615.27 = 9,447.84/x
  3. Step 3: Cross multiply
    35,743.38x = 53,615.27 × 9,447.84
  4. Step 4: Simplify right side
    35,743.38x = 506,548,717.19
  5. Step 5: Solve for x
    x = 506,548,717.19/35,743.38
  6. Step 6: Final answer
    x = 14,171.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.