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Finding the Fourth Proportional to 6,016.90, 9,003.16 and 3,646.35

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Solution

The fourth proportional to 6,016.90, 9,003.16 and 3,646.35 is: 5,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.90 : 9,003.16 = 3,646.35 : x
  2. Step 2: Convert to fraction form
    6,016.90/9,003.16 = 3,646.35/x
  3. Step 3: Cross multiply
    6,016.90x = 9,003.16 × 3,646.35
  4. Step 4: Simplify right side
    6,016.90x = 32,828,672.47
  5. Step 5: Solve for x
    x = 32,828,672.47/6,016.90
  6. Step 6: Final answer
    x = 5,456.08

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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.