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Finding the Fourth Proportional to 9,899.35, 13,661.10 and 5,423.38

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Solution

The fourth proportional to 9,899.35, 13,661.10 and 5,423.38 is: 7,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.35 : 13,661.10 = 5,423.38 : x
  2. Step 2: Convert to fraction form
    9,899.35/13,661.10 = 5,423.38/x
  3. Step 3: Cross multiply
    9,899.35x = 13,661.10 × 5,423.38
  4. Step 4: Simplify right side
    9,899.35x = 74,089,336.52
  5. Step 5: Solve for x
    x = 74,089,336.52/9,899.35
  6. Step 6: Final answer
    x = 7,484.26

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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.