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Finding the Fourth Proportional to 9,705.72, 13,396.14 and 5,979

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Solution

The fourth proportional to 9,705.72, 13,396.14 and 5,979 is: 8,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.72 : 13,396.14 = 5,979 : x
  2. Step 2: Convert to fraction form
    9,705.72/13,396.14 = 5,979/x
  3. Step 3: Cross multiply
    9,705.72x = 13,396.14 × 5,979
  4. Step 4: Simplify right side
    9,705.72x = 80,095,521.06
  5. Step 5: Solve for x
    x = 80,095,521.06/9,705.72
  6. Step 6: Final answer
    x = 8,252.40

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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.