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Finding the Fourth Proportional to 9,810.04, 14,714.94 and 2,414.56

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Solution

The fourth proportional to 9,810.04, 14,714.94 and 2,414.56 is: 3,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.04 : 14,714.94 = 2,414.56 : x
  2. Step 2: Convert to fraction form
    9,810.04/14,714.94 = 2,414.56/x
  3. Step 3: Cross multiply
    9,810.04x = 14,714.94 × 2,414.56
  4. Step 4: Simplify right side
    9,810.04x = 35,530,105.53
  5. Step 5: Solve for x
    x = 35,530,105.53/9,810.04
  6. Step 6: Final answer
    x = 3,621.81

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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.