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Finding the Fourth Proportional to 9,234.59, 13,851.90 and 3,688.38

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Solution

The fourth proportional to 9,234.59, 13,851.90 and 3,688.38 is: 5,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.59 : 13,851.90 = 3,688.38 : x
  2. Step 2: Convert to fraction form
    9,234.59/13,851.90 = 3,688.38/x
  3. Step 3: Cross multiply
    9,234.59x = 13,851.90 × 3,688.38
  4. Step 4: Simplify right side
    9,234.59x = 51,091,070.92
  5. Step 5: Solve for x
    x = 51,091,070.92/9,234.59
  6. Step 6: Final answer
    x = 5,532.58

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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.