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Finding the Fourth Proportional to 9,234.06, 13,850.98 and 6,265.15

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Solution

The fourth proportional to 9,234.06, 13,850.98 and 6,265.15 is: 9,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.06 : 13,850.98 = 6,265.15 : x
  2. Step 2: Convert to fraction form
    9,234.06/13,850.98 = 6,265.15/x
  3. Step 3: Cross multiply
    9,234.06x = 13,850.98 × 6,265.15
  4. Step 4: Simplify right side
    9,234.06x = 86,778,417.06
  5. Step 5: Solve for x
    x = 86,778,417.06/9,234.06
  6. Step 6: Final answer
    x = 9,397.65

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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.