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Finding the Fourth Proportional to 9,676.64, 13,353.45 and 5,427.85

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Solution

The fourth proportional to 9,676.64, 13,353.45 and 5,427.85 is: 7,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.64 : 13,353.45 = 5,427.85 : x
  2. Step 2: Convert to fraction form
    9,676.64/13,353.45 = 5,427.85/x
  3. Step 3: Cross multiply
    9,676.64x = 13,353.45 × 5,427.85
  4. Step 4: Simplify right side
    9,676.64x = 72,480,523.58
  5. Step 5: Solve for x
    x = 72,480,523.58/9,676.64
  6. Step 6: Final answer
    x = 7,490.26

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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.