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Finding the Fourth Proportional to 9,705.66, 13,393.35 and 5,513.82

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Solution

The fourth proportional to 9,705.66, 13,393.35 and 5,513.82 is: 7,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.66 : 13,393.35 = 5,513.82 : x
  2. Step 2: Convert to fraction form
    9,705.66/13,393.35 = 5,513.82/x
  3. Step 3: Cross multiply
    9,705.66x = 13,393.35 × 5,513.82
  4. Step 4: Simplify right side
    9,705.66x = 73,848,521.10
  5. Step 5: Solve for x
    x = 73,848,521.10/9,705.66
  6. Step 6: Final answer
    x = 7,608.81

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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.