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Finding the Fourth Proportional to 9,964.64, 13,750.83 and 5,987.95

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Solution

The fourth proportional to 9,964.64, 13,750.83 and 5,987.95 is: 8,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.64 : 13,750.83 = 5,987.95 : x
  2. Step 2: Convert to fraction form
    9,964.64/13,750.83 = 5,987.95/x
  3. Step 3: Cross multiply
    9,964.64x = 13,750.83 × 5,987.95
  4. Step 4: Simplify right side
    9,964.64x = 82,339,248.12
  5. Step 5: Solve for x
    x = 82,339,248.12/9,964.64
  6. Step 6: Final answer
    x = 8,263.14

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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.