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Finding the Fourth Proportional to 9,212.54, 13,820.18 and 2,970.50

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Solution

The fourth proportional to 9,212.54, 13,820.18 and 2,970.50 is: 4,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.54 : 13,820.18 = 2,970.50 : x
  2. Step 2: Convert to fraction form
    9,212.54/13,820.18 = 2,970.50/x
  3. Step 3: Cross multiply
    9,212.54x = 13,820.18 × 2,970.50
  4. Step 4: Simplify right side
    9,212.54x = 41,052,760.74
  5. Step 5: Solve for x
    x = 41,052,760.74/9,212.54
  6. Step 6: Final answer
    x = 4,456.19

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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.