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Finding the Fourth Proportional to 9,102.94, 12,558.14 and 5,220.28

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Solution

The fourth proportional to 9,102.94, 12,558.14 and 5,220.28 is: 7,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.94 : 12,558.14 = 5,220.28 : x
  2. Step 2: Convert to fraction form
    9,102.94/12,558.14 = 5,220.28/x
  3. Step 3: Cross multiply
    9,102.94x = 12,558.14 × 5,220.28
  4. Step 4: Simplify right side
    9,102.94x = 65,557,007.08
  5. Step 5: Solve for x
    x = 65,557,007.08/9,102.94
  6. Step 6: Final answer
    x = 7,201.74

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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.