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Finding the Fourth Proportional to 6,134.13, 9,201.00 and 1,751.58

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Solution

The fourth proportional to 6,134.13, 9,201.00 and 1,751.58 is: 2,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.13 : 9,201.00 = 1,751.58 : x
  2. Step 2: Convert to fraction form
    6,134.13/9,201.00 = 1,751.58/x
  3. Step 3: Cross multiply
    6,134.13x = 9,201.00 × 1,751.58
  4. Step 4: Simplify right side
    6,134.13x = 16,116,315.10
  5. Step 5: Solve for x
    x = 16,116,315.10/6,134.13
  6. Step 6: Final answer
    x = 2,627.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.