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Finding the Fourth Proportional to 9,768.38, 13,480.37 and 5,292.14

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Solution

The fourth proportional to 9,768.38, 13,480.37 and 5,292.14 is: 7,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.38 : 13,480.37 = 5,292.14 : x
  2. Step 2: Convert to fraction form
    9,768.38/13,480.37 = 5,292.14/x
  3. Step 3: Cross multiply
    9,768.38x = 13,480.37 × 5,292.14
  4. Step 4: Simplify right side
    9,768.38x = 71,340,007.10
  5. Step 5: Solve for x
    x = 71,340,007.10/9,768.38
  6. Step 6: Final answer
    x = 7,303.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.