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Finding the Fourth Proportional to 6,905.67, 9,530.01 and 3,762.06

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Solution

The fourth proportional to 6,905.67, 9,530.01 and 3,762.06 is: 5,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.67 : 9,530.01 = 3,762.06 : x
  2. Step 2: Convert to fraction form
    6,905.67/9,530.01 = 3,762.06/x
  3. Step 3: Cross multiply
    6,905.67x = 9,530.01 × 3,762.06
  4. Step 4: Simplify right side
    6,905.67x = 35,852,469.42
  5. Step 5: Solve for x
    x = 35,852,469.42/6,905.67
  6. Step 6: Final answer
    x = 5,191.74

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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.