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Finding the Fourth Proportional to 9,952.70, 14,923.65 and 4,109.90

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Solution

The fourth proportional to 9,952.70, 14,923.65 and 4,109.90 is: 6,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.70 : 14,923.65 = 4,109.90 : x
  2. Step 2: Convert to fraction form
    9,952.70/14,923.65 = 4,109.90/x
  3. Step 3: Cross multiply
    9,952.70x = 14,923.65 × 4,109.90
  4. Step 4: Simplify right side
    9,952.70x = 61,334,709.14
  5. Step 5: Solve for x
    x = 61,334,709.14/9,952.70
  6. Step 6: Final answer
    x = 6,162.62

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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.