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Finding the Fourth Proportional to 9,647.68, 14,477.27 and 4,310.44

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Solution

The fourth proportional to 9,647.68, 14,477.27 and 4,310.44 is: 6,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.68 : 14,477.27 = 4,310.44 : x
  2. Step 2: Convert to fraction form
    9,647.68/14,477.27 = 4,310.44/x
  3. Step 3: Cross multiply
    9,647.68x = 14,477.27 × 4,310.44
  4. Step 4: Simplify right side
    9,647.68x = 62,403,403.70
  5. Step 5: Solve for x
    x = 62,403,403.70/9,647.68
  6. Step 6: Final answer
    x = 6,468.23

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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.