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Finding the Fourth Proportional to 9,200.90, 13,798.83 and 4,005.62

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Solution

The fourth proportional to 9,200.90, 13,798.83 and 4,005.62 is: 6,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.90 : 13,798.83 = 4,005.62 : x
  2. Step 2: Convert to fraction form
    9,200.90/13,798.83 = 4,005.62/x
  3. Step 3: Cross multiply
    9,200.90x = 13,798.83 × 4,005.62
  4. Step 4: Simplify right side
    9,200.90x = 55,272,869.42
  5. Step 5: Solve for x
    x = 55,272,869.42/9,200.90
  6. Step 6: Final answer
    x = 6,007.33

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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.