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Finding the Fourth Proportional to 9,899.88, 13,662.24 and 6,545.64

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Solution

The fourth proportional to 9,899.88, 13,662.24 and 6,545.64 is: 9,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.88 : 13,662.24 = 6,545.64 : x
  2. Step 2: Convert to fraction form
    9,899.88/13,662.24 = 6,545.64/x
  3. Step 3: Cross multiply
    9,899.88x = 13,662.24 × 6,545.64
  4. Step 4: Simplify right side
    9,899.88x = 89,428,104.63
  5. Step 5: Solve for x
    x = 89,428,104.63/9,899.88
  6. Step 6: Final answer
    x = 9,033.25

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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.