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Finding the Fourth Proportional to 9,813.44, 14,721.06 and 3,574.11

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Solution

The fourth proportional to 9,813.44, 14,721.06 and 3,574.11 is: 5,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.44 : 14,721.06 = 3,574.11 : x
  2. Step 2: Convert to fraction form
    9,813.44/14,721.06 = 3,574.11/x
  3. Step 3: Cross multiply
    9,813.44x = 14,721.06 × 3,574.11
  4. Step 4: Simplify right side
    9,813.44x = 52,614,687.76
  5. Step 5: Solve for x
    x = 52,614,687.76/9,813.44
  6. Step 6: Final answer
    x = 5,361.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.