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Finding the Fourth Proportional to 35,709.48, 53,566.74 and 9,414

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Solution

The fourth proportional to 35,709.48, 53,566.74 and 9,414 is: 14,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.48 : 53,566.74 = 9,414 : x
  2. Step 2: Convert to fraction form
    35,709.48/53,566.74 = 9,414/x
  3. Step 3: Cross multiply
    35,709.48x = 53,566.74 × 9,414
  4. Step 4: Simplify right side
    35,709.48x = 504,277,290.36
  5. Step 5: Solve for x
    x = 504,277,290.36/35,709.48
  6. Step 6: Final answer
    x = 14,121.66

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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.