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Finding the Fourth Proportional to 9,706.68, 13,395.15 and 5,514.93

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Solution

The fourth proportional to 9,706.68, 13,395.15 and 5,514.93 is: 7,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.68 : 13,395.15 = 5,514.93 : x
  2. Step 2: Convert to fraction form
    9,706.68/13,395.15 = 5,514.93/x
  3. Step 3: Cross multiply
    9,706.68x = 13,395.15 × 5,514.93
  4. Step 4: Simplify right side
    9,706.68x = 73,873,287.01
  5. Step 5: Solve for x
    x = 73,873,287.01/9,706.68
  6. Step 6: Final answer
    x = 7,610.56

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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.