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Finding the Fourth Proportional to 9,369.69, 14,048.06 and 4,102.17

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Solution

The fourth proportional to 9,369.69, 14,048.06 and 4,102.17 is: 6,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.69 : 14,048.06 = 4,102.17 : x
  2. Step 2: Convert to fraction form
    9,369.69/14,048.06 = 4,102.17/x
  3. Step 3: Cross multiply
    9,369.69x = 14,048.06 × 4,102.17
  4. Step 4: Simplify right side
    9,369.69x = 57,627,509.78
  5. Step 5: Solve for x
    x = 57,627,509.78/9,369.69
  6. Step 6: Final answer
    x = 6,150.42

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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.