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Finding the Fourth Proportional to 9,467.10, 14,200.65 and 2,447.10

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Solution

The fourth proportional to 9,467.10, 14,200.65 and 2,447.10 is: 3,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.10 : 14,200.65 = 2,447.10 : x
  2. Step 2: Convert to fraction form
    9,467.10/14,200.65 = 2,447.10/x
  3. Step 3: Cross multiply
    9,467.10x = 14,200.65 × 2,447.10
  4. Step 4: Simplify right side
    9,467.10x = 34,750,410.62
  5. Step 5: Solve for x
    x = 34,750,410.62/9,467.10
  6. Step 6: Final answer
    x = 3,670.65

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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.