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Finding the Fourth Proportional to 9,899.50, 13,661.33 and 5,423.34

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Solution

The fourth proportional to 9,899.50, 13,661.33 and 5,423.34 is: 7,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.50 : 13,661.33 = 5,423.34 : x
  2. Step 2: Convert to fraction form
    9,899.50/13,661.33 = 5,423.34/x
  3. Step 3: Cross multiply
    9,899.50x = 13,661.33 × 5,423.34
  4. Step 4: Simplify right side
    9,899.50x = 74,090,035.55
  5. Step 5: Solve for x
    x = 74,090,035.55/9,899.50
  6. Step 6: Final answer
    x = 7,484.22

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