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Finding the Fourth Proportional to 9,234.07, 13,842.57 and 3,686.07

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Solution

The fourth proportional to 9,234.07, 13,842.57 and 3,686.07 is: 5,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.07 : 13,842.57 = 3,686.07 : x
  2. Step 2: Convert to fraction form
    9,234.07/13,842.57 = 3,686.07/x
  3. Step 3: Cross multiply
    9,234.07x = 13,842.57 × 3,686.07
  4. Step 4: Simplify right side
    9,234.07x = 51,024,682.00
  5. Step 5: Solve for x
    x = 51,024,682.00/9,234.07
  6. Step 6: Final answer
    x = 5,525.70

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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.