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Finding the Fourth Proportional to 9,240.50, 13,860.76 and 3,696.32

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Solution

The fourth proportional to 9,240.50, 13,860.76 and 3,696.32 is: 5,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.50 : 13,860.76 = 3,696.32 : x
  2. Step 2: Convert to fraction form
    9,240.50/13,860.76 = 3,696.32/x
  3. Step 3: Cross multiply
    9,240.50x = 13,860.76 × 3,696.32
  4. Step 4: Simplify right side
    9,240.50x = 51,233,804.40
  5. Step 5: Solve for x
    x = 51,233,804.40/9,240.50
  6. Step 6: Final answer
    x = 5,544.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.