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Finding the Fourth Proportional to 9,965.72, 13,752.06 and 5,987

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Solution

The fourth proportional to 9,965.72, 13,752.06 and 5,987 is: 8,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.72 : 13,752.06 = 5,987 : x
  2. Step 2: Convert to fraction form
    9,965.72/13,752.06 = 5,987/x
  3. Step 3: Cross multiply
    9,965.72x = 13,752.06 × 5,987
  4. Step 4: Simplify right side
    9,965.72x = 82,333,583.22
  5. Step 5: Solve for x
    x = 82,333,583.22/9,965.72
  6. Step 6: Final answer
    x = 8,261.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.