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Finding the Fourth Proportional to 9,899.91, 13,661.38 and 5,423.68

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Solution

The fourth proportional to 9,899.91, 13,661.38 and 5,423.68 is: 7,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.91 : 13,661.38 = 5,423.68 : x
  2. Step 2: Convert to fraction form
    9,899.91/13,661.38 = 5,423.68/x
  3. Step 3: Cross multiply
    9,899.91x = 13,661.38 × 5,423.68
  4. Step 4: Simplify right side
    9,899.91x = 74,094,953.48
  5. Step 5: Solve for x
    x = 74,094,953.48/9,899.91
  6. Step 6: Final answer
    x = 7,484.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.