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Finding the Fourth Proportional to 8,974.18, 13,462.39 and 2,970.50

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Solution

The fourth proportional to 8,974.18, 13,462.39 and 2,970.50 is: 4,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.18 : 13,462.39 = 2,970.50 : x
  2. Step 2: Convert to fraction form
    8,974.18/13,462.39 = 2,970.50/x
  3. Step 3: Cross multiply
    8,974.18x = 13,462.39 × 2,970.50
  4. Step 4: Simplify right side
    8,974.18x = 39,990,029.50
  5. Step 5: Solve for x
    x = 39,990,029.50/8,974.18
  6. Step 6: Final answer
    x = 4,456.12

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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.