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Finding the Fourth Proportional to 6,435.37, 9,636.72 and 5,392.63

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Solution

The fourth proportional to 6,435.37, 9,636.72 and 5,392.63 is: 8,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.37 : 9,636.72 = 5,392.63 : x
  2. Step 2: Convert to fraction form
    6,435.37/9,636.72 = 5,392.63/x
  3. Step 3: Cross multiply
    6,435.37x = 9,636.72 × 5,392.63
  4. Step 4: Simplify right side
    6,435.37x = 51,967,265.37
  5. Step 5: Solve for x
    x = 51,967,265.37/6,435.37
  6. Step 6: Final answer
    x = 8,075.26

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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.