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Finding the Fourth Proportional to 7,025.95, 9,698.97 and 4,474.81

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Solution

The fourth proportional to 7,025.95, 9,698.97 and 4,474.81 is: 6,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.95 : 9,698.97 = 4,474.81 : x
  2. Step 2: Convert to fraction form
    7,025.95/9,698.97 = 4,474.81/x
  3. Step 3: Cross multiply
    7,025.95x = 9,698.97 × 4,474.81
  4. Step 4: Simplify right side
    7,025.95x = 43,401,047.95
  5. Step 5: Solve for x
    x = 43,401,047.95/7,025.95
  6. Step 6: Final answer
    x = 6,177.25

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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.