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Finding the Fourth Proportional to 9,859.68, 14,784.66 and 3,614.99

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Solution

The fourth proportional to 9,859.68, 14,784.66 and 3,614.99 is: 5,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.68 : 14,784.66 = 3,614.99 : x
  2. Step 2: Convert to fraction form
    9,859.68/14,784.66 = 3,614.99/x
  3. Step 3: Cross multiply
    9,859.68x = 14,784.66 × 3,614.99
  4. Step 4: Simplify right side
    9,859.68x = 53,446,324.13
  5. Step 5: Solve for x
    x = 53,446,324.13/9,859.68
  6. Step 6: Final answer
    x = 5,420.70

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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.