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Finding the Fourth Proportional to 9,199.74, 13,802.04 and 4,263.60

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Solution

The fourth proportional to 9,199.74, 13,802.04 and 4,263.60 is: 6,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.74 : 13,802.04 = 4,263.60 : x
  2. Step 2: Convert to fraction form
    9,199.74/13,802.04 = 4,263.60/x
  3. Step 3: Cross multiply
    9,199.74x = 13,802.04 × 4,263.60
  4. Step 4: Simplify right side
    9,199.74x = 58,846,377.74
  5. Step 5: Solve for x
    x = 58,846,377.74/9,199.74
  6. Step 6: Final answer
    x = 6,396.53

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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.