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Finding the Fourth Proportional to 9,574.59, 14,353.35 and 3,729.85

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Solution

The fourth proportional to 9,574.59, 14,353.35 and 3,729.85 is: 5,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.59 : 14,353.35 = 3,729.85 : x
  2. Step 2: Convert to fraction form
    9,574.59/14,353.35 = 3,729.85/x
  3. Step 3: Cross multiply
    9,574.59x = 14,353.35 × 3,729.85
  4. Step 4: Simplify right side
    9,574.59x = 53,535,842.50
  5. Step 5: Solve for x
    x = 53,535,842.50/9,574.59
  6. Step 6: Final answer
    x = 5,591.45

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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.