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Finding the Fourth Proportional to 35,964.90, 53,947.26 and 9,669.64

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Solution

The fourth proportional to 35,964.90, 53,947.26 and 9,669.64 is: 14,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,964.90 : 53,947.26 = 9,669.64 : x
  2. Step 2: Convert to fraction form
    35,964.90/53,947.26 = 9,669.64/x
  3. Step 3: Cross multiply
    35,964.90x = 53,947.26 × 9,669.64
  4. Step 4: Simplify right side
    35,964.90x = 521,650,583.19
  5. Step 5: Solve for x
    x = 521,650,583.19/35,964.90
  6. Step 6: Final answer
    x = 14,504.44

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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.