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Finding the Fourth Proportional to 9,205.24, 13,800.06 and 4,007.16

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Solution

The fourth proportional to 9,205.24, 13,800.06 and 4,007.16 is: 6,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.24 : 13,800.06 = 4,007.16 : x
  2. Step 2: Convert to fraction form
    9,205.24/13,800.06 = 4,007.16/x
  3. Step 3: Cross multiply
    9,205.24x = 13,800.06 × 4,007.16
  4. Step 4: Simplify right side
    9,205.24x = 55,299,048.43
  5. Step 5: Solve for x
    x = 55,299,048.43/9,205.24
  6. Step 6: Final answer
    x = 6,007.34

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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.