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Finding the Fourth Proportional to 35,709.18, 53,561.43 and 9,414.06

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Solution

The fourth proportional to 35,709.18, 53,561.43 and 9,414.06 is: 14,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.18 : 53,561.43 = 9,414.06 : x
  2. Step 2: Convert to fraction form
    35,709.18/53,561.43 = 9,414.06/x
  3. Step 3: Cross multiply
    35,709.18x = 53,561.43 × 9,414.06
  4. Step 4: Simplify right side
    35,709.18x = 504,230,515.71
  5. Step 5: Solve for x
    x = 504,230,515.71/35,709.18
  6. Step 6: Final answer
    x = 14,120.47

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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.