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Finding the Fourth Proportional to 7,144.04, 9,858.70 and 4,000.24

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Solution

The fourth proportional to 7,144.04, 9,858.70 and 4,000.24 is: 5,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.04 : 9,858.70 = 4,000.24 : x
  2. Step 2: Convert to fraction form
    7,144.04/9,858.70 = 4,000.24/x
  3. Step 3: Cross multiply
    7,144.04x = 9,858.70 × 4,000.24
  4. Step 4: Simplify right side
    7,144.04x = 39,437,166.09
  5. Step 5: Solve for x
    x = 39,437,166.09/7,144.04
  6. Step 6: Final answer
    x = 5,520.29

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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.