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Finding the Fourth Proportional to 9,075.50, 13,613.26 and 3,603.50

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Solution

The fourth proportional to 9,075.50, 13,613.26 and 3,603.50 is: 5,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.50 : 13,613.26 = 3,603.50 : x
  2. Step 2: Convert to fraction form
    9,075.50/13,613.26 = 3,603.50/x
  3. Step 3: Cross multiply
    9,075.50x = 13,613.26 × 3,603.50
  4. Step 4: Simplify right side
    9,075.50x = 49,055,382.41
  5. Step 5: Solve for x
    x = 49,055,382.41/9,075.50
  6. Step 6: Final answer
    x = 5,405.25

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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.