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Finding the Fourth Proportional to 9,202.44, 12,699.45 and 5,010.69

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Solution

The fourth proportional to 9,202.44, 12,699.45 and 5,010.69 is: 6,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.44 : 12,699.45 = 5,010.69 : x
  2. Step 2: Convert to fraction form
    9,202.44/12,699.45 = 5,010.69/x
  3. Step 3: Cross multiply
    9,202.44x = 12,699.45 × 5,010.69
  4. Step 4: Simplify right side
    9,202.44x = 63,633,007.12
  5. Step 5: Solve for x
    x = 63,633,007.12/9,202.44
  6. Step 6: Final answer
    x = 6,914.80

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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.