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Finding the Fourth Proportional to 7,230.15, 9,977.84 and 4,000.02

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Solution

The fourth proportional to 7,230.15, 9,977.84 and 4,000.02 is: 5,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.15 : 9,977.84 = 4,000.02 : x
  2. Step 2: Convert to fraction form
    7,230.15/9,977.84 = 4,000.02/x
  3. Step 3: Cross multiply
    7,230.15x = 9,977.84 × 4,000.02
  4. Step 4: Simplify right side
    7,230.15x = 39,911,559.56
  5. Step 5: Solve for x
    x = 39,911,559.56/7,230.15
  6. Step 6: Final answer
    x = 5,520.16

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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.