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Finding the Fourth Proportional to 9,205.71, 13,810.77 and 2,966.31

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Solution

The fourth proportional to 9,205.71, 13,810.77 and 2,966.31 is: 4,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.71 : 13,810.77 = 2,966.31 : x
  2. Step 2: Convert to fraction form
    9,205.71/13,810.77 = 2,966.31/x
  3. Step 3: Cross multiply
    9,205.71x = 13,810.77 × 2,966.31
  4. Step 4: Simplify right side
    9,205.71x = 40,967,025.16
  5. Step 5: Solve for x
    x = 40,967,025.16/9,205.71
  6. Step 6: Final answer
    x = 4,450.18

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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.