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Finding the Fourth Proportional to 35,964.96, 53,947.35 and 9,669.69

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Solution

The fourth proportional to 35,964.96, 53,947.35 and 9,669.69 is: 14,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964.96 : 53,947.35 = 9,669.69 : x
  2. Step 2: Convert to fraction form
    35,964.96/53,947.35 = 9,669.69/x
  3. Step 3: Cross multiply
    35,964.96x = 53,947.35 × 9,669.69
  4. Step 4: Simplify right side
    35,964.96x = 521,654,150.82
  5. Step 5: Solve for x
    x = 521,654,150.82/35,964.96
  6. Step 6: Final answer
    x = 14,504.51

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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.