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Finding the Fourth Proportional to 6,346.53, 9,522.20 and 2,648.46

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Solution

The fourth proportional to 6,346.53, 9,522.20 and 2,648.46 is: 3,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.53 : 9,522.20 = 2,648.46 : x
  2. Step 2: Convert to fraction form
    6,346.53/9,522.20 = 2,648.46/x
  3. Step 3: Cross multiply
    6,346.53x = 9,522.20 × 2,648.46
  4. Step 4: Simplify right side
    6,346.53x = 25,219,152.57
  5. Step 5: Solve for x
    x = 25,219,152.57/6,346.53
  6. Step 6: Final answer
    x = 3,973.69

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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.