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Finding the Fourth Proportional to 6,468.54, 9,705.33 and 2,573.34

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Solution

The fourth proportional to 6,468.54, 9,705.33 and 2,573.34 is: 3,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.54 : 9,705.33 = 2,573.34 : x
  2. Step 2: Convert to fraction form
    6,468.54/9,705.33 = 2,573.34/x
  3. Step 3: Cross multiply
    6,468.54x = 9,705.33 × 2,573.34
  4. Step 4: Simplify right side
    6,468.54x = 24,975,113.90
  5. Step 5: Solve for x
    x = 24,975,113.90/6,468.54
  6. Step 6: Final answer
    x = 3,861.01

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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.