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Finding the Fourth Proportional to 9,850.97, 13,594.41 and 5,374.76

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Solution

The fourth proportional to 9,850.97, 13,594.41 and 5,374.76 is: 7,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.97 : 13,594.41 = 5,374.76 : x
  2. Step 2: Convert to fraction form
    9,850.97/13,594.41 = 5,374.76/x
  3. Step 3: Cross multiply
    9,850.97x = 13,594.41 × 5,374.76
  4. Step 4: Simplify right side
    9,850.97x = 73,066,608.00
  5. Step 5: Solve for x
    x = 73,066,608.00/9,850.97
  6. Step 6: Final answer
    x = 7,417.20

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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.