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Finding the Fourth Proportional to 7,131.60, 9,838.50 and 4,474.80

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Solution

The fourth proportional to 7,131.60, 9,838.50 and 4,474.80 is: 6,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.60 : 9,838.50 = 4,474.80 : x
  2. Step 2: Convert to fraction form
    7,131.60/9,838.50 = 4,474.80/x
  3. Step 3: Cross multiply
    7,131.60x = 9,838.50 × 4,474.80
  4. Step 4: Simplify right side
    7,131.60x = 44,025,319.80
  5. Step 5: Solve for x
    x = 44,025,319.80/7,131.60
  6. Step 6: Final answer
    x = 6,173.27

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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.