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Finding the Fourth Proportional to 35,798.95, 53,694.31 and 9,505.75

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Solution

The fourth proportional to 35,798.95, 53,694.31 and 9,505.75 is: 14,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798.95 : 53,694.31 = 9,505.75 : x
  2. Step 2: Convert to fraction form
    35,798.95/53,694.31 = 9,505.75/x
  3. Step 3: Cross multiply
    35,798.95x = 53,694.31 × 9,505.75
  4. Step 4: Simplify right side
    35,798.95x = 510,404,687.28
  5. Step 5: Solve for x
    x = 510,404,687.28/35,798.95
  6. Step 6: Final answer
    x = 14,257.53

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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.