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Finding the Fourth Proportional to 9,075.21, 13,612.95 and 2,834.97

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Solution

The fourth proportional to 9,075.21, 13,612.95 and 2,834.97 is: 4,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.21 : 13,612.95 = 2,834.97 : x
  2. Step 2: Convert to fraction form
    9,075.21/13,612.95 = 2,834.97/x
  3. Step 3: Cross multiply
    9,075.21x = 13,612.95 × 2,834.97
  4. Step 4: Simplify right side
    9,075.21x = 38,592,304.86
  5. Step 5: Solve for x
    x = 38,592,304.86/9,075.21
  6. Step 6: Final answer
    x = 4,252.50

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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.