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Finding the Fourth Proportional to 9,235.89, 13,853.84 and 4,307.85

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Solution

The fourth proportional to 9,235.89, 13,853.84 and 4,307.85 is: 6,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.89 : 13,853.84 = 4,307.85 : x
  2. Step 2: Convert to fraction form
    9,235.89/13,853.84 = 4,307.85/x
  3. Step 3: Cross multiply
    9,235.89x = 13,853.84 × 4,307.85
  4. Step 4: Simplify right side
    9,235.89x = 59,680,243.10
  5. Step 5: Solve for x
    x = 59,680,243.10/9,235.89
  6. Step 6: Final answer
    x = 6,461.78

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