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Finding the Fourth Proportional to 7,131.24, 9,839.88 and 4,773.96

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Solution

The fourth proportional to 7,131.24, 9,839.88 and 4,773.96 is: 6,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.24 : 9,839.88 = 4,773.96 : x
  2. Step 2: Convert to fraction form
    7,131.24/9,839.88 = 4,773.96/x
  3. Step 3: Cross multiply
    7,131.24x = 9,839.88 × 4,773.96
  4. Step 4: Simplify right side
    7,131.24x = 46,975,193.52
  5. Step 5: Solve for x
    x = 46,975,193.52/7,131.24
  6. Step 6: Final answer
    x = 6,587.24

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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.