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Finding the Fourth Proportional to 9,952.60, 14,928.04 and 3,378.64

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Solution

The fourth proportional to 9,952.60, 14,928.04 and 3,378.64 is: 5,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.60 : 14,928.04 = 3,378.64 : x
  2. Step 2: Convert to fraction form
    9,952.60/14,928.04 = 3,378.64/x
  3. Step 3: Cross multiply
    9,952.60x = 14,928.04 × 3,378.64
  4. Step 4: Simplify right side
    9,952.60x = 50,436,473.07
  5. Step 5: Solve for x
    x = 50,436,473.07/9,952.60
  6. Step 6: Final answer
    x = 5,067.67

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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.