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Finding the Fourth Proportional to 9,075.84, 13,610.52 and 3,151.20

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Solution

The fourth proportional to 9,075.84, 13,610.52 and 3,151.20 is: 4,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.84 : 13,610.52 = 3,151.20 : x
  2. Step 2: Convert to fraction form
    9,075.84/13,610.52 = 3,151.20/x
  3. Step 3: Cross multiply
    9,075.84x = 13,610.52 × 3,151.20
  4. Step 4: Simplify right side
    9,075.84x = 42,889,470.62
  5. Step 5: Solve for x
    x = 42,889,470.62/9,075.84
  6. Step 6: Final answer
    x = 4,725.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.