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Finding the Fourth Proportional to 9,913.22, 13,676.69 and 5,661.21

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Solution

The fourth proportional to 9,913.22, 13,676.69 and 5,661.21 is: 7,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.22 : 13,676.69 = 5,661.21 : x
  2. Step 2: Convert to fraction form
    9,913.22/13,676.69 = 5,661.21/x
  3. Step 3: Cross multiply
    9,913.22x = 13,676.69 × 5,661.21
  4. Step 4: Simplify right side
    9,913.22x = 77,426,585.89
  5. Step 5: Solve for x
    x = 77,426,585.89/9,913.22
  6. Step 6: Final answer
    x = 7,810.44

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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.