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Finding the Fourth Proportional to 9,647.87, 14,465.32 and 5,431.41

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Solution

The fourth proportional to 9,647.87, 14,465.32 and 5,431.41 is: 8,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.87 : 14,465.32 = 5,431.41 : x
  2. Step 2: Convert to fraction form
    9,647.87/14,465.32 = 5,431.41/x
  3. Step 3: Cross multiply
    9,647.87x = 14,465.32 × 5,431.41
  4. Step 4: Simplify right side
    9,647.87x = 78,567,070.12
  5. Step 5: Solve for x
    x = 78,567,070.12/9,647.87
  6. Step 6: Final answer
    x = 8,143.47

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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.