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Finding the Fourth Proportional to 6,974.58, 9,625.30 and 4,612.62

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Solution

The fourth proportional to 6,974.58, 9,625.30 and 4,612.62 is: 6,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.58 : 9,625.30 = 4,612.62 : x
  2. Step 2: Convert to fraction form
    6,974.58/9,625.30 = 4,612.62/x
  3. Step 3: Cross multiply
    6,974.58x = 9,625.30 × 4,612.62
  4. Step 4: Simplify right side
    6,974.58x = 44,397,851.29
  5. Step 5: Solve for x
    x = 44,397,851.29/6,974.58
  6. Step 6: Final answer
    x = 6,365.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.