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Finding the Fourth Proportional to 9,705.62, 13,394.25 and 5,928.18

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Solution

The fourth proportional to 9,705.62, 13,394.25 and 5,928.18 is: 8,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.62 : 13,394.25 = 5,928.18 : x
  2. Step 2: Convert to fraction form
    9,705.62/13,394.25 = 5,928.18/x
  3. Step 3: Cross multiply
    9,705.62x = 13,394.25 × 5,928.18
  4. Step 4: Simplify right side
    9,705.62x = 79,403,474.74
  5. Step 5: Solve for x
    x = 79,403,474.74/9,705.62
  6. Step 6: Final answer
    x = 8,181.18

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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.