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Finding the Fourth Proportional to 6,454.34, 9,682.31 and 2,070.62

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Solution

The fourth proportional to 6,454.34, 9,682.31 and 2,070.62 is: 3,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.34 : 9,682.31 = 2,070.62 : x
  2. Step 2: Convert to fraction form
    6,454.34/9,682.31 = 2,070.62/x
  3. Step 3: Cross multiply
    6,454.34x = 9,682.31 × 2,070.62
  4. Step 4: Simplify right side
    6,454.34x = 20,048,341.50
  5. Step 5: Solve for x
    x = 20,048,341.50/6,454.34
  6. Step 6: Final answer
    x = 3,106.18

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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.