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Finding the Fourth Proportional to 7,021.82, 9,690.03 and 3,835.10

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Solution

The fourth proportional to 7,021.82, 9,690.03 and 3,835.10 is: 5,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.82 : 9,690.03 = 3,835.10 : x
  2. Step 2: Convert to fraction form
    7,021.82/9,690.03 = 3,835.10/x
  3. Step 3: Cross multiply
    7,021.82x = 9,690.03 × 3,835.10
  4. Step 4: Simplify right side
    7,021.82x = 37,162,258.28
  5. Step 5: Solve for x
    x = 37,162,258.28/7,021.82
  6. Step 6: Final answer
    x = 5,292.40

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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.