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Finding the Fourth Proportional to 9,210.70, 13,811.19 and 4,010.50

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Solution

The fourth proportional to 9,210.70, 13,811.19 and 4,010.50 is: 6,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.70 : 13,811.19 = 4,010.50 : x
  2. Step 2: Convert to fraction form
    9,210.70/13,811.19 = 4,010.50/x
  3. Step 3: Cross multiply
    9,210.70x = 13,811.19 × 4,010.50
  4. Step 4: Simplify right side
    9,210.70x = 55,389,777.50
  5. Step 5: Solve for x
    x = 55,389,777.50/9,210.70
  6. Step 6: Final answer
    x = 6,013.63

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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.