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Finding the Fourth Proportional to 6,642.04, 9,163.62 and 4,405

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Solution

The fourth proportional to 6,642.04, 9,163.62 and 4,405 is: 6,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.04 : 9,163.62 = 4,405 : x
  2. Step 2: Convert to fraction form
    6,642.04/9,163.62 = 4,405/x
  3. Step 3: Cross multiply
    6,642.04x = 9,163.62 × 4,405
  4. Step 4: Simplify right side
    6,642.04x = 40,365,746.10
  5. Step 5: Solve for x
    x = 40,365,746.10/6,642.04
  6. Step 6: Final answer
    x = 6,077.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.