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Finding the Fourth Proportional to 9,280.29, 13,920.22 and 2,260.34

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Solution

The fourth proportional to 9,280.29, 13,920.22 and 2,260.34 is: 3,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.29 : 13,920.22 = 2,260.34 : x
  2. Step 2: Convert to fraction form
    9,280.29/13,920.22 = 2,260.34/x
  3. Step 3: Cross multiply
    9,280.29x = 13,920.22 × 2,260.34
  4. Step 4: Simplify right side
    9,280.29x = 31,464,415.50
  5. Step 5: Solve for x
    x = 31,464,415.50/9,280.29
  6. Step 6: Final answer
    x = 3,390.46

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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.