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Finding the Fourth Proportional to 9,202.09, 12,710.45 and 8,004.71

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Solution

The fourth proportional to 9,202.09, 12,710.45 and 8,004.71 is: 11,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.09 : 12,710.45 = 8,004.71 : x
  2. Step 2: Convert to fraction form
    9,202.09/12,710.45 = 8,004.71/x
  3. Step 3: Cross multiply
    9,202.09x = 12,710.45 × 8,004.71
  4. Step 4: Simplify right side
    9,202.09x = 101,743,466.22
  5. Step 5: Solve for x
    x = 101,743,466.22/9,202.09
  6. Step 6: Final answer
    x = 11,056.56

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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.