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Finding the Fourth Proportional to 9,632.40, 13,292.06 and 5,440.38

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Solution

The fourth proportional to 9,632.40, 13,292.06 and 5,440.38 is: 7,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.40 : 13,292.06 = 5,440.38 : x
  2. Step 2: Convert to fraction form
    9,632.40/13,292.06 = 5,440.38/x
  3. Step 3: Cross multiply
    9,632.40x = 13,292.06 × 5,440.38
  4. Step 4: Simplify right side
    9,632.40x = 72,313,857.38
  5. Step 5: Solve for x
    x = 72,313,857.38/9,632.40
  6. Step 6: Final answer
    x = 7,507.36

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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.