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Finding the Fourth Proportional to 9,075.82, 13,606.81 and 4,142.01

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Solution

The fourth proportional to 9,075.82, 13,606.81 and 4,142.01 is: 6,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.82 : 13,606.81 = 4,142.01 : x
  2. Step 2: Convert to fraction form
    9,075.82/13,606.81 = 4,142.01/x
  3. Step 3: Cross multiply
    9,075.82x = 13,606.81 × 4,142.01
  4. Step 4: Simplify right side
    9,075.82x = 56,359,557.14
  5. Step 5: Solve for x
    x = 56,359,557.14/9,075.82
  6. Step 6: Final answer
    x = 6,209.86

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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.