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Finding the Fourth Proportional to 9,263.76, 13,891.32 and 5,369.28

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Solution

The fourth proportional to 9,263.76, 13,891.32 and 5,369.28 is: 8,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.76 : 13,891.32 = 5,369.28 : x
  2. Step 2: Convert to fraction form
    9,263.76/13,891.32 = 5,369.28/x
  3. Step 3: Cross multiply
    9,263.76x = 13,891.32 × 5,369.28
  4. Step 4: Simplify right side
    9,263.76x = 74,586,386.65
  5. Step 5: Solve for x
    x = 74,586,386.65/9,263.76
  6. Step 6: Final answer
    x = 8,051.42

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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.