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Finding the Fourth Proportional to 9,964.36, 13,752.06 and 6,437.80

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Solution

The fourth proportional to 9,964.36, 13,752.06 and 6,437.80 is: 8,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.36 : 13,752.06 = 6,437.80 : x
  2. Step 2: Convert to fraction form
    9,964.36/13,752.06 = 6,437.80/x
  3. Step 3: Cross multiply
    9,964.36x = 13,752.06 × 6,437.80
  4. Step 4: Simplify right side
    9,964.36x = 88,533,011.87
  5. Step 5: Solve for x
    x = 88,533,011.87/9,964.36
  6. Step 6: Final answer
    x = 8,884.97

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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.