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Finding the Fourth Proportional to 6,988.37, 9,643.52 and 3,801.64

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Solution

The fourth proportional to 6,988.37, 9,643.52 and 3,801.64 is: 5,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.37 : 9,643.52 = 3,801.64 : x
  2. Step 2: Convert to fraction form
    6,988.37/9,643.52 = 3,801.64/x
  3. Step 3: Cross multiply
    6,988.37x = 9,643.52 × 3,801.64
  4. Step 4: Simplify right side
    6,988.37x = 36,661,191.37
  5. Step 5: Solve for x
    x = 36,661,191.37/6,988.37
  6. Step 6: Final answer
    x = 5,246.03

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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.