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Finding the Fourth Proportional to 9,230.69, 13,851.03 and 4,299.14

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Solution

The fourth proportional to 9,230.69, 13,851.03 and 4,299.14 is: 6,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.69 : 13,851.03 = 4,299.14 : x
  2. Step 2: Convert to fraction form
    9,230.69/13,851.03 = 4,299.14/x
  3. Step 3: Cross multiply
    9,230.69x = 13,851.03 × 4,299.14
  4. Step 4: Simplify right side
    9,230.69x = 59,547,517.11
  5. Step 5: Solve for x
    x = 59,547,517.11/9,230.69
  6. Step 6: Final answer
    x = 6,451.04

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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.