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Finding the Fourth Proportional to 9,705.79, 13,379.88 and 6,864.31

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Solution

The fourth proportional to 9,705.79, 13,379.88 and 6,864.31 is: 9,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.79 : 13,379.88 = 6,864.31 : x
  2. Step 2: Convert to fraction form
    9,705.79/13,379.88 = 6,864.31/x
  3. Step 3: Cross multiply
    9,705.79x = 13,379.88 × 6,864.31
  4. Step 4: Simplify right side
    9,705.79x = 91,843,644.08
  5. Step 5: Solve for x
    x = 91,843,644.08/9,705.79
  6. Step 6: Final answer
    x = 9,462.77

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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.