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Finding the Fourth Proportional to 9,188.48, 12,676.20 and 5,462.48

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Solution

The fourth proportional to 9,188.48, 12,676.20 and 5,462.48 is: 7,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.48 : 12,676.20 = 5,462.48 : x
  2. Step 2: Convert to fraction form
    9,188.48/12,676.20 = 5,462.48/x
  3. Step 3: Cross multiply
    9,188.48x = 12,676.20 × 5,462.48
  4. Step 4: Simplify right side
    9,188.48x = 69,243,488.98
  5. Step 5: Solve for x
    x = 69,243,488.98/9,188.48
  6. Step 6: Final answer
    x = 7,535.90

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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.