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Finding the Fourth Proportional to 9,607.08, 13,255.75 and 5,832.22

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Solution

The fourth proportional to 9,607.08, 13,255.75 and 5,832.22 is: 8,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.08 : 13,255.75 = 5,832.22 : x
  2. Step 2: Convert to fraction form
    9,607.08/13,255.75 = 5,832.22/x
  3. Step 3: Cross multiply
    9,607.08x = 13,255.75 × 5,832.22
  4. Step 4: Simplify right side
    9,607.08x = 77,310,450.27
  5. Step 5: Solve for x
    x = 77,310,450.27/9,607.08
  6. Step 6: Final answer
    x = 8,047.24

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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.