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Finding the Fourth Proportional to 9,964.44, 13,752.12 and 5,987.58

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Solution

The fourth proportional to 9,964.44, 13,752.12 and 5,987.58 is: 8,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.44 : 13,752.12 = 5,987.58 : x
  2. Step 2: Convert to fraction form
    9,964.44/13,752.12 = 5,987.58/x
  3. Step 3: Cross multiply
    9,964.44x = 13,752.12 × 5,987.58
  4. Step 4: Simplify right side
    9,964.44x = 82,341,918.67
  5. Step 5: Solve for x
    x = 82,341,918.67/9,964.44
  6. Step 6: Final answer
    x = 8,263.58

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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.