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Finding the Fourth Proportional to 9,223.88, 13,839.87 and 4,840.31

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Solution

The fourth proportional to 9,223.88, 13,839.87 and 4,840.31 is: 7,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.88 : 13,839.87 = 4,840.31 : x
  2. Step 2: Convert to fraction form
    9,223.88/13,839.87 = 4,840.31/x
  3. Step 3: Cross multiply
    9,223.88x = 13,839.87 × 4,840.31
  4. Step 4: Simplify right side
    9,223.88x = 66,989,295.76
  5. Step 5: Solve for x
    x = 66,989,295.76/9,223.88
  6. Step 6: Final answer
    x = 7,262.60

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Why These Related Problems?

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