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Finding the Fourth Proportional to 9,626, 14,441.43 and 2,700.50

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Solution

The fourth proportional to 9,626, 14,441.43 and 2,700.50 is: 4,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626 : 14,441.43 = 2,700.50 : x
  2. Step 2: Convert to fraction form
    9,626/14,441.43 = 2,700.50/x
  3. Step 3: Cross multiply
    9,626x = 14,441.43 × 2,700.50
  4. Step 4: Simplify right side
    9,626x = 38,999,081.72
  5. Step 5: Solve for x
    x = 38,999,081.72/9,626
  6. Step 6: Final answer
    x = 4,051.43

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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.