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Finding the Fourth Proportional to 9,823.20, 13,522.32 and 7,464.48

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Solution

The fourth proportional to 9,823.20, 13,522.32 and 7,464.48 is: 10,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.20 : 13,522.32 = 7,464.48 : x
  2. Step 2: Convert to fraction form
    9,823.20/13,522.32 = 7,464.48/x
  3. Step 3: Cross multiply
    9,823.20x = 13,522.32 × 7,464.48
  4. Step 4: Simplify right side
    9,823.20x = 100,937,087.19
  5. Step 5: Solve for x
    x = 100,937,087.19/9,823.20
  6. Step 6: Final answer
    x = 10,275.38

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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.