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Finding the Fourth Proportional to 6,412.50, 9,622.80 and 4,954.50

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Solution

The fourth proportional to 6,412.50, 9,622.80 and 4,954.50 is: 7,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.50 : 9,622.80 = 4,954.50 : x
  2. Step 2: Convert to fraction form
    6,412.50/9,622.80 = 4,954.50/x
  3. Step 3: Cross multiply
    6,412.50x = 9,622.80 × 4,954.50
  4. Step 4: Simplify right side
    6,412.50x = 47,676,162.60
  5. Step 5: Solve for x
    x = 47,676,162.60/6,412.50
  6. Step 6: Final answer
    x = 7,434.88

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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.