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Finding the Fourth Proportional to 6,354.81, 9,534.29 and 3,068.28

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Solution

The fourth proportional to 6,354.81, 9,534.29 and 3,068.28 is: 4,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.81 : 9,534.29 = 3,068.28 : x
  2. Step 2: Convert to fraction form
    6,354.81/9,534.29 = 3,068.28/x
  3. Step 3: Cross multiply
    6,354.81x = 9,534.29 × 3,068.28
  4. Step 4: Simplify right side
    6,354.81x = 29,253,855.98
  5. Step 5: Solve for x
    x = 29,253,855.98/6,354.81
  6. Step 6: Final answer
    x = 4,603.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.