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Finding the Fourth Proportional to 9,819.46, 14,730.22 and 3,154.28

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Solution

The fourth proportional to 9,819.46, 14,730.22 and 3,154.28 is: 4,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.46 : 14,730.22 = 3,154.28 : x
  2. Step 2: Convert to fraction form
    9,819.46/14,730.22 = 3,154.28/x
  3. Step 3: Cross multiply
    9,819.46x = 14,730.22 × 3,154.28
  4. Step 4: Simplify right side
    9,819.46x = 46,463,148.92
  5. Step 5: Solve for x
    x = 46,463,148.92/9,819.46
  6. Step 6: Final answer
    x = 4,731.74

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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.