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Finding the Fourth Proportional to 9,706.76, 13,393.86 and 5,514.92

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Solution

The fourth proportional to 9,706.76, 13,393.86 and 5,514.92 is: 7,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.76 : 13,393.86 = 5,514.92 : x
  2. Step 2: Convert to fraction form
    9,706.76/13,393.86 = 5,514.92/x
  3. Step 3: Cross multiply
    9,706.76x = 13,393.86 × 5,514.92
  4. Step 4: Simplify right side
    9,706.76x = 73,866,066.39
  5. Step 5: Solve for x
    x = 73,866,066.39/9,706.76
  6. Step 6: Final answer
    x = 7,609.76

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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.