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Finding the Fourth Proportional to 9,245, 13,868.84 and 2,671.24

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Solution

The fourth proportional to 9,245, 13,868.84 and 2,671.24 is: 4,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245 : 13,868.84 = 2,671.24 : x
  2. Step 2: Convert to fraction form
    9,245/13,868.84 = 2,671.24/x
  3. Step 3: Cross multiply
    9,245x = 13,868.84 × 2,671.24
  4. Step 4: Simplify right side
    9,245x = 37,047,000.16
  5. Step 5: Solve for x
    x = 37,047,000.16/9,245
  6. Step 6: Final answer
    x = 4,007.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.