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Finding the Fourth Proportional to 6,319.46, 9,478.92 and 2,423.63

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Solution

The fourth proportional to 6,319.46, 9,478.92 and 2,423.63 is: 3,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.46 : 9,478.92 = 2,423.63 : x
  2. Step 2: Convert to fraction form
    6,319.46/9,478.92 = 2,423.63/x
  3. Step 3: Cross multiply
    6,319.46x = 9,478.92 × 2,423.63
  4. Step 4: Simplify right side
    6,319.46x = 22,973,394.88
  5. Step 5: Solve for x
    x = 22,973,394.88/6,319.46
  6. Step 6: Final answer
    x = 3,635.34

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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.