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Finding the Fourth Proportional to 6,830.98, 9,425.82 and 3,846.40

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Solution

The fourth proportional to 6,830.98, 9,425.82 and 3,846.40 is: 5,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.98 : 9,425.82 = 3,846.40 : x
  2. Step 2: Convert to fraction form
    6,830.98/9,425.82 = 3,846.40/x
  3. Step 3: Cross multiply
    6,830.98x = 9,425.82 × 3,846.40
  4. Step 4: Simplify right side
    6,830.98x = 36,255,474.05
  5. Step 5: Solve for x
    x = 36,255,474.05/6,830.98
  6. Step 6: Final answer
    x = 5,307.51

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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.