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Finding the Fourth Proportional to 9,272.96, 13,913.96 and 4,078.16

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Solution

The fourth proportional to 9,272.96, 13,913.96 and 4,078.16 is: 6,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.96 : 13,913.96 = 4,078.16 : x
  2. Step 2: Convert to fraction form
    9,272.96/13,913.96 = 4,078.16/x
  3. Step 3: Cross multiply
    9,272.96x = 13,913.96 × 4,078.16
  4. Step 4: Simplify right side
    9,272.96x = 56,743,355.11
  5. Step 5: Solve for x
    x = 56,743,355.11/9,272.96
  6. Step 6: Final answer
    x = 6,119.23

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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.