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Finding the Fourth Proportional to 9,355.35, 14,020.84 and 3,802.20

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Solution

The fourth proportional to 9,355.35, 14,020.84 and 3,802.20 is: 5,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.35 : 14,020.84 = 3,802.20 : x
  2. Step 2: Convert to fraction form
    9,355.35/14,020.84 = 3,802.20/x
  3. Step 3: Cross multiply
    9,355.35x = 14,020.84 × 3,802.20
  4. Step 4: Simplify right side
    9,355.35x = 53,310,037.85
  5. Step 5: Solve for x
    x = 53,310,037.85/9,355.35
  6. Step 6: Final answer
    x = 5,698.35

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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.