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Finding the Fourth Proportional to 9,608.02, 13,255.05 and 6,465.22

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Solution

The fourth proportional to 9,608.02, 13,255.05 and 6,465.22 is: 8,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.02 : 13,255.05 = 6,465.22 : x
  2. Step 2: Convert to fraction form
    9,608.02/13,255.05 = 6,465.22/x
  3. Step 3: Cross multiply
    9,608.02x = 13,255.05 × 6,465.22
  4. Step 4: Simplify right side
    9,608.02x = 85,696,814.36
  5. Step 5: Solve for x
    x = 85,696,814.36/9,608.02
  6. Step 6: Final answer
    x = 8,919.30

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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.