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Finding the Fourth Proportional to 6,192.48, 9,268.56 and 4,548.64

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Solution

The fourth proportional to 6,192.48, 9,268.56 and 4,548.64 is: 6,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.48 : 9,268.56 = 4,548.64 : x
  2. Step 2: Convert to fraction form
    6,192.48/9,268.56 = 4,548.64/x
  3. Step 3: Cross multiply
    6,192.48x = 9,268.56 × 4,548.64
  4. Step 4: Simplify right side
    6,192.48x = 42,159,342.76
  5. Step 5: Solve for x
    x = 42,159,342.76/6,192.48
  6. Step 6: Final answer
    x = 6,808.15

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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.