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Finding the Fourth Proportional to 9,608.66, 13,259.46 and 5,358.96

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Solution

The fourth proportional to 9,608.66, 13,259.46 and 5,358.96 is: 7,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.66 : 13,259.46 = 5,358.96 : x
  2. Step 2: Convert to fraction form
    9,608.66/13,259.46 = 5,358.96/x
  3. Step 3: Cross multiply
    9,608.66x = 13,259.46 × 5,358.96
  4. Step 4: Simplify right side
    9,608.66x = 71,056,915.76
  5. Step 5: Solve for x
    x = 71,056,915.76/9,608.66
  6. Step 6: Final answer
    x = 7,395.09

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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.