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Finding the Fourth Proportional to 6,948.06, 9,588.09 and 3,804.18

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Solution

The fourth proportional to 6,948.06, 9,588.09 and 3,804.18 is: 5,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.06 : 9,588.09 = 3,804.18 : x
  2. Step 2: Convert to fraction form
    6,948.06/9,588.09 = 3,804.18/x
  3. Step 3: Cross multiply
    6,948.06x = 9,588.09 × 3,804.18
  4. Step 4: Simplify right side
    6,948.06x = 36,474,820.22
  5. Step 5: Solve for x
    x = 36,474,820.22/6,948.06
  6. Step 6: Final answer
    x = 5,249.64

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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.