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Finding the Fourth Proportional to 6,800.02, 9,381.63 and 4,441.30

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Solution

The fourth proportional to 6,800.02, 9,381.63 and 4,441.30 is: 6,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.02 : 9,381.63 = 4,441.30 : x
  2. Step 2: Convert to fraction form
    6,800.02/9,381.63 = 4,441.30/x
  3. Step 3: Cross multiply
    6,800.02x = 9,381.63 × 4,441.30
  4. Step 4: Simplify right side
    6,800.02x = 41,666,633.32
  5. Step 5: Solve for x
    x = 41,666,633.32/6,800.02
  6. Step 6: Final answer
    x = 6,127.43

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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.