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Finding the Fourth Proportional to 6,641.56, 9,968.49 and 3,356.95

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Solution

The fourth proportional to 6,641.56, 9,968.49 and 3,356.95 is: 5,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.56 : 9,968.49 = 3,356.95 : x
  2. Step 2: Convert to fraction form
    6,641.56/9,968.49 = 3,356.95/x
  3. Step 3: Cross multiply
    6,641.56x = 9,968.49 × 3,356.95
  4. Step 4: Simplify right side
    6,641.56x = 33,463,722.51
  5. Step 5: Solve for x
    x = 33,463,722.51/6,641.56
  6. Step 6: Final answer
    x = 5,038.53

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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.