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Finding the Fourth Proportional to 9,075.94, 13,604.30 and 5,171.98

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Solution

The fourth proportional to 9,075.94, 13,604.30 and 5,171.98 is: 7,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.94 : 13,604.30 = 5,171.98 : x
  2. Step 2: Convert to fraction form
    9,075.94/13,604.30 = 5,171.98/x
  3. Step 3: Cross multiply
    9,075.94x = 13,604.30 × 5,171.98
  4. Step 4: Simplify right side
    9,075.94x = 70,361,167.51
  5. Step 5: Solve for x
    x = 70,361,167.51/9,075.94
  6. Step 6: Final answer
    x = 7,752.49

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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.