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Finding the Fourth Proportional to 6,988.05, 9,643.14 and 4,003.20

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Solution

The fourth proportional to 6,988.05, 9,643.14 and 4,003.20 is: 5,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.05 : 9,643.14 = 4,003.20 : x
  2. Step 2: Convert to fraction form
    6,988.05/9,643.14 = 4,003.20/x
  3. Step 3: Cross multiply
    6,988.05x = 9,643.14 × 4,003.20
  4. Step 4: Simplify right side
    6,988.05x = 38,603,418.05
  5. Step 5: Solve for x
    x = 38,603,418.05/6,988.05
  6. Step 6: Final answer
    x = 5,524.20

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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.