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Finding the Fourth Proportional to 6,075.37, 9,098.34 and 3,470.41

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Solution

The fourth proportional to 6,075.37, 9,098.34 and 3,470.41 is: 5,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.37 : 9,098.34 = 3,470.41 : x
  2. Step 2: Convert to fraction form
    6,075.37/9,098.34 = 3,470.41/x
  3. Step 3: Cross multiply
    6,075.37x = 9,098.34 × 3,470.41
  4. Step 4: Simplify right side
    6,075.37x = 31,574,970.12
  5. Step 5: Solve for x
    x = 31,574,970.12/6,075.37
  6. Step 6: Final answer
    x = 5,197.21

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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.