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Finding the Fourth Proportional to 6,988.85, 9,643.34 and 4,004.00

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Solution

The fourth proportional to 6,988.85, 9,643.34 and 4,004.00 is: 5,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.85 : 9,643.34 = 4,004.00 : x
  2. Step 2: Convert to fraction form
    6,988.85/9,643.34 = 4,004.00/x
  3. Step 3: Cross multiply
    6,988.85x = 9,643.34 × 4,004.00
  4. Step 4: Simplify right side
    6,988.85x = 38,611,865.12
  5. Step 5: Solve for x
    x = 38,611,865.12/6,988.85
  6. Step 6: Final answer
    x = 5,524.78

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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.