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Finding the Fourth Proportional to 9,201.94, 12,698.71 and 5,010.19

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Solution

The fourth proportional to 9,201.94, 12,698.71 and 5,010.19 is: 6,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.94 : 12,698.71 = 5,010.19 : x
  2. Step 2: Convert to fraction form
    9,201.94/12,698.71 = 5,010.19/x
  3. Step 3: Cross multiply
    9,201.94x = 12,698.71 × 5,010.19
  4. Step 4: Simplify right side
    9,201.94x = 63,622,905.58
  5. Step 5: Solve for x
    x = 63,622,905.58/9,201.94
  6. Step 6: Final answer
    x = 6,914.08

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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.