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Finding the Fourth Proportional to 9,200.90, 13,794.02 and 4,003.14

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Solution

The fourth proportional to 9,200.90, 13,794.02 and 4,003.14 is: 6,001.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.90 : 13,794.02 = 4,003.14 : x
  2. Step 2: Convert to fraction form
    9,200.90/13,794.02 = 4,003.14/x
  3. Step 3: Cross multiply
    9,200.90x = 13,794.02 × 4,003.14
  4. Step 4: Simplify right side
    9,200.90x = 55,219,393.22
  5. Step 5: Solve for x
    x = 55,219,393.22/9,200.90
  6. Step 6: Final answer
    x = 6,001.52

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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.