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Finding the Fourth Proportional to 9,964, 13,751.64 and 6,437.47

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Solution

The fourth proportional to 9,964, 13,751.64 and 6,437.47 is: 8,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 13,751.64 = 6,437.47 : x
  2. Step 2: Convert to fraction form
    9,964/13,751.64 = 6,437.47/x
  3. Step 3: Cross multiply
    9,964x = 13,751.64 × 6,437.47
  4. Step 4: Simplify right side
    9,964x = 88,525,769.95
  5. Step 5: Solve for x
    x = 88,525,769.95/9,964
  6. Step 6: Final answer
    x = 8,884.56

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Why These Related Problems?

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