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Finding the Fourth Proportional to 9,705.90, 13,393.89 and 5,727.18

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Solution

The fourth proportional to 9,705.90, 13,393.89 and 5,727.18 is: 7,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.90 : 13,393.89 = 5,727.18 : x
  2. Step 2: Convert to fraction form
    9,705.90/13,393.89 = 5,727.18/x
  3. Step 3: Cross multiply
    9,705.90x = 13,393.89 × 5,727.18
  4. Step 4: Simplify right side
    9,705.90x = 76,709,218.93
  5. Step 5: Solve for x
    x = 76,709,218.93/9,705.90
  6. Step 6: Final answer
    x = 7,903.36

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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.