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Finding the Fourth Proportional to 9,201.84, 12,698.82 and 5,222.58

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Solution

The fourth proportional to 9,201.84, 12,698.82 and 5,222.58 is: 7,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.84 : 12,698.82 = 5,222.58 : x
  2. Step 2: Convert to fraction form
    9,201.84/12,698.82 = 5,222.58/x
  3. Step 3: Cross multiply
    9,201.84x = 12,698.82 × 5,222.58
  4. Step 4: Simplify right side
    9,201.84x = 66,320,603.36
  5. Step 5: Solve for x
    x = 66,320,603.36/9,201.84
  6. Step 6: Final answer
    x = 7,207.32

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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.