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Finding the Fourth Proportional to 6,075.34, 9,113.01 and 3,476.47

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Solution

The fourth proportional to 6,075.34, 9,113.01 and 3,476.47 is: 5,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.34 : 9,113.01 = 3,476.47 : x
  2. Step 2: Convert to fraction form
    6,075.34/9,113.01 = 3,476.47/x
  3. Step 3: Cross multiply
    6,075.34x = 9,113.01 × 3,476.47
  4. Step 4: Simplify right side
    6,075.34x = 31,681,105.87
  5. Step 5: Solve for x
    x = 31,681,105.87/6,075.34
  6. Step 6: Final answer
    x = 5,214.71

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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.