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Finding the Fourth Proportional to 9,449.93, 13,041.72 and 5,201.84

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Solution

The fourth proportional to 9,449.93, 13,041.72 and 5,201.84 is: 7,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.93 : 13,041.72 = 5,201.84 : x
  2. Step 2: Convert to fraction form
    9,449.93/13,041.72 = 5,201.84/x
  3. Step 3: Cross multiply
    9,449.93x = 13,041.72 × 5,201.84
  4. Step 4: Simplify right side
    9,449.93x = 67,840,973.37
  5. Step 5: Solve for x
    x = 67,840,973.37/9,449.93
  6. Step 6: Final answer
    x = 7,178.99

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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.