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Finding the Fourth Proportional to 9,574.34, 14,353.00 and 3,729.58

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Solution

The fourth proportional to 9,574.34, 14,353.00 and 3,729.58 is: 5,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.34 : 14,353.00 = 3,729.58 : x
  2. Step 2: Convert to fraction form
    9,574.34/14,353.00 = 3,729.58/x
  3. Step 3: Cross multiply
    9,574.34x = 14,353.00 × 3,729.58
  4. Step 4: Simplify right side
    9,574.34x = 53,530,616.53
  5. Step 5: Solve for x
    x = 53,530,616.53/9,574.34
  6. Step 6: Final answer
    x = 5,591.05

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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.