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Finding the Fourth Proportional to 6,534.04, 9,018.54 and 3,741.16

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Solution

The fourth proportional to 6,534.04, 9,018.54 and 3,741.16 is: 5,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.04 : 9,018.54 = 3,741.16 : x
  2. Step 2: Convert to fraction form
    6,534.04/9,018.54 = 3,741.16/x
  3. Step 3: Cross multiply
    6,534.04x = 9,018.54 × 3,741.16
  4. Step 4: Simplify right side
    6,534.04x = 33,739,801.11
  5. Step 5: Solve for x
    x = 33,739,801.11/6,534.04
  6. Step 6: Final answer
    x = 5,163.70

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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.