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Finding the Fourth Proportional to 6,534.61, 9,796.14 and 2,373.64

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Solution

The fourth proportional to 6,534.61, 9,796.14 and 2,373.64 is: 3,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.61 : 9,796.14 = 2,373.64 : x
  2. Step 2: Convert to fraction form
    6,534.61/9,796.14 = 2,373.64/x
  3. Step 3: Cross multiply
    6,534.61x = 9,796.14 × 2,373.64
  4. Step 4: Simplify right side
    6,534.61x = 23,252,485.26
  5. Step 5: Solve for x
    x = 23,252,485.26/6,534.61
  6. Step 6: Final answer
    x = 3,558.36

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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.