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Finding the Fourth Proportional to 9,706.56, 13,394.16 and 5,514

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Solution

The fourth proportional to 9,706.56, 13,394.16 and 5,514 is: 7,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.56 : 13,394.16 = 5,514 : x
  2. Step 2: Convert to fraction form
    9,706.56/13,394.16 = 5,514/x
  3. Step 3: Cross multiply
    9,706.56x = 13,394.16 × 5,514
  4. Step 4: Simplify right side
    9,706.56x = 73,855,398.24
  5. Step 5: Solve for x
    x = 73,855,398.24/9,706.56
  6. Step 6: Final answer
    x = 7,608.81

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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.