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Finding the Fourth Proportional to 7,230.14, 9,977.67 and 4,246.03

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Solution

The fourth proportional to 7,230.14, 9,977.67 and 4,246.03 is: 5,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.14 : 9,977.67 = 4,246.03 : x
  2. Step 2: Convert to fraction form
    7,230.14/9,977.67 = 4,246.03/x
  3. Step 3: Cross multiply
    7,230.14x = 9,977.67 × 4,246.03
  4. Step 4: Simplify right side
    7,230.14x = 42,365,486.15
  5. Step 5: Solve for x
    x = 42,365,486.15/7,230.14
  6. Step 6: Final answer
    x = 5,859.57

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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.