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Finding the Fourth Proportional to 9,647.54, 14,476.77 and 6,362.18

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Solution

The fourth proportional to 9,647.54, 14,476.77 and 6,362.18 is: 9,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.54 : 14,476.77 = 6,362.18 : x
  2. Step 2: Convert to fraction form
    9,647.54/14,476.77 = 6,362.18/x
  3. Step 3: Cross multiply
    9,647.54x = 14,476.77 × 6,362.18
  4. Step 4: Simplify right side
    9,647.54x = 92,103,744.17
  5. Step 5: Solve for x
    x = 92,103,744.17/9,647.54
  6. Step 6: Final answer
    x = 9,546.87

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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.