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Finding the Fourth Proportional to 6,116.36, 9,174.54 and 3,001.64

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Solution

The fourth proportional to 6,116.36, 9,174.54 and 3,001.64 is: 4,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.36 : 9,174.54 = 3,001.64 : x
  2. Step 2: Convert to fraction form
    6,116.36/9,174.54 = 3,001.64/x
  3. Step 3: Cross multiply
    6,116.36x = 9,174.54 × 3,001.64
  4. Step 4: Simplify right side
    6,116.36x = 27,538,666.25
  5. Step 5: Solve for x
    x = 27,538,666.25/6,116.36
  6. Step 6: Final answer
    x = 4,502.46

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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.