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Finding the Fourth Proportional to 9,676.31, 13,352.54 and 5,426.80

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Solution

The fourth proportional to 9,676.31, 13,352.54 and 5,426.80 is: 7,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.31 : 13,352.54 = 5,426.80 : x
  2. Step 2: Convert to fraction form
    9,676.31/13,352.54 = 5,426.80/x
  3. Step 3: Cross multiply
    9,676.31x = 13,352.54 × 5,426.80
  4. Step 4: Simplify right side
    9,676.31x = 72,461,503.56
  5. Step 5: Solve for x
    x = 72,461,503.56/9,676.31
  6. Step 6: Final answer
    x = 7,488.55

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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.