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Finding the Fourth Proportional to 9,911.04, 13,676.16 and 5,661.78

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Solution

The fourth proportional to 9,911.04, 13,676.16 and 5,661.78 is: 7,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.04 : 13,676.16 = 5,661.78 : x
  2. Step 2: Convert to fraction form
    9,911.04/13,676.16 = 5,661.78/x
  3. Step 3: Cross multiply
    9,911.04x = 13,676.16 × 5,661.78
  4. Step 4: Simplify right side
    9,911.04x = 77,431,409.16
  5. Step 5: Solve for x
    x = 77,431,409.16/9,911.04
  6. Step 6: Final answer
    x = 7,812.64

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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.