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Finding the Fourth Proportional to 9,475.63, 14,213.26 and 4,209.22

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Solution

The fourth proportional to 9,475.63, 14,213.26 and 4,209.22 is: 6,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.63 : 14,213.26 = 4,209.22 : x
  2. Step 2: Convert to fraction form
    9,475.63/14,213.26 = 4,209.22/x
  3. Step 3: Cross multiply
    9,475.63x = 14,213.26 × 4,209.22
  4. Step 4: Simplify right side
    9,475.63x = 59,826,675.42
  5. Step 5: Solve for x
    x = 59,826,675.42/9,475.63
  6. Step 6: Final answer
    x = 6,313.74

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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.