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Finding the Fourth Proportional to 9,705.68, 13,392.57 and 5,725.34

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Solution

The fourth proportional to 9,705.68, 13,392.57 and 5,725.34 is: 7,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.68 : 13,392.57 = 5,725.34 : x
  2. Step 2: Convert to fraction form
    9,705.68/13,392.57 = 5,725.34/x
  3. Step 3: Cross multiply
    9,705.68x = 13,392.57 × 5,725.34
  4. Step 4: Simplify right side
    9,705.68x = 76,677,016.72
  5. Step 5: Solve for x
    x = 76,677,016.72/9,705.68
  6. Step 6: Final answer
    x = 7,900.22

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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.