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Finding the Fourth Proportional to 9,189.48, 12,677.58 and 5,463.48

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Solution

The fourth proportional to 9,189.48, 12,677.58 and 5,463.48 is: 7,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.48 : 12,677.58 = 5,463.48 : x
  2. Step 2: Convert to fraction form
    9,189.48/12,677.58 = 5,463.48/x
  3. Step 3: Cross multiply
    9,189.48x = 12,677.58 × 5,463.48
  4. Step 4: Simplify right side
    9,189.48x = 69,263,704.78
  5. Step 5: Solve for x
    x = 69,263,704.78/9,189.48
  6. Step 6: Final answer
    x = 7,537.28

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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.