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Finding the Fourth Proportional to 9,391.28, 14,100.72 and 5,239.40

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Solution

The fourth proportional to 9,391.28, 14,100.72 and 5,239.40 is: 7,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.28 : 14,100.72 = 5,239.40 : x
  2. Step 2: Convert to fraction form
    9,391.28/14,100.72 = 5,239.40/x
  3. Step 3: Cross multiply
    9,391.28x = 14,100.72 × 5,239.40
  4. Step 4: Simplify right side
    9,391.28x = 73,879,312.37
  5. Step 5: Solve for x
    x = 73,879,312.37/9,391.28
  6. Step 6: Final answer
    x = 7,866.80

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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.