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Finding the Fourth Proportional to 9,966.44, 13,752.65 and 6,137.46

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Solution

The fourth proportional to 9,966.44, 13,752.65 and 6,137.46 is: 8,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.44 : 13,752.65 = 6,137.46 : x
  2. Step 2: Convert to fraction form
    9,966.44/13,752.65 = 6,137.46/x
  3. Step 3: Cross multiply
    9,966.44x = 13,752.65 × 6,137.46
  4. Step 4: Simplify right side
    9,966.44x = 84,406,339.27
  5. Step 5: Solve for x
    x = 84,406,339.27/9,966.44
  6. Step 6: Final answer
    x = 8,469.06

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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.