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Finding the Fourth Proportional to 9,605.97, 13,258.35 and 6,242.94

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Solution

The fourth proportional to 9,605.97, 13,258.35 and 6,242.94 is: 8,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.97 : 13,258.35 = 6,242.94 : x
  2. Step 2: Convert to fraction form
    9,605.97/13,258.35 = 6,242.94/x
  3. Step 3: Cross multiply
    9,605.97x = 13,258.35 × 6,242.94
  4. Step 4: Simplify right side
    9,605.97x = 82,771,083.55
  5. Step 5: Solve for x
    x = 82,771,083.55/9,605.97
  6. Step 6: Final answer
    x = 8,616.63

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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.