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Finding the Fourth Proportional to 9,676.10, 13,352.64 and 5,484.26

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Solution

The fourth proportional to 9,676.10, 13,352.64 and 5,484.26 is: 7,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.10 : 13,352.64 = 5,484.26 : x
  2. Step 2: Convert to fraction form
    9,676.10/13,352.64 = 5,484.26/x
  3. Step 3: Cross multiply
    9,676.10x = 13,352.64 × 5,484.26
  4. Step 4: Simplify right side
    9,676.10x = 73,229,349.45
  5. Step 5: Solve for x
    x = 73,229,349.45/9,676.10
  6. Step 6: Final answer
    x = 7,568.06

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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.