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Finding the Fourth Proportional to 9,477.39, 13,078.86 and 5,228.61

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Solution

The fourth proportional to 9,477.39, 13,078.86 and 5,228.61 is: 7,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.39 : 13,078.86 = 5,228.61 : x
  2. Step 2: Convert to fraction form
    9,477.39/13,078.86 = 5,228.61/x
  3. Step 3: Cross multiply
    9,477.39x = 13,078.86 × 5,228.61
  4. Step 4: Simplify right side
    9,477.39x = 68,384,258.18
  5. Step 5: Solve for x
    x = 68,384,258.18/9,477.39
  6. Step 6: Final answer
    x = 7,215.52

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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.