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Finding the Fourth Proportional to 9,241.92, 13,795.56 and 8,075.52

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Solution

The fourth proportional to 9,241.92, 13,795.56 and 8,075.52 is: 12,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.92 : 13,795.56 = 8,075.52 : x
  2. Step 2: Convert to fraction form
    9,241.92/13,795.56 = 8,075.52/x
  3. Step 3: Cross multiply
    9,241.92x = 13,795.56 × 8,075.52
  4. Step 4: Simplify right side
    9,241.92x = 111,406,320.69
  5. Step 5: Solve for x
    x = 111,406,320.69/9,241.92
  6. Step 6: Final answer
    x = 12,054.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.