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Finding the Fourth Proportional to 9,624, 14,433.93 and 5,618.71

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Solution

The fourth proportional to 9,624, 14,433.93 and 5,618.71 is: 8,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624 : 14,433.93 = 5,618.71 : x
  2. Step 2: Convert to fraction form
    9,624/14,433.93 = 5,618.71/x
  3. Step 3: Cross multiply
    9,624x = 14,433.93 × 5,618.71
  4. Step 4: Simplify right side
    9,624x = 81,100,066.83
  5. Step 5: Solve for x
    x = 81,100,066.83/9,624
  6. Step 6: Final answer
    x = 8,426.86

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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.