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Finding the Fourth Proportional to 6,525.67, 9,005.34 and 3,541.48

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Solution

The fourth proportional to 6,525.67, 9,005.34 and 3,541.48 is: 4,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.67 : 9,005.34 = 3,541.48 : x
  2. Step 2: Convert to fraction form
    6,525.67/9,005.34 = 3,541.48/x
  3. Step 3: Cross multiply
    6,525.67x = 9,005.34 × 3,541.48
  4. Step 4: Simplify right side
    6,525.67x = 31,892,231.50
  5. Step 5: Solve for x
    x = 31,892,231.50/6,525.67
  6. Step 6: Final answer
    x = 4,887.20

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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.