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Finding the Fourth Proportional to 9,601.29, 14,453.81 and 8,635.75

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Solution

The fourth proportional to 9,601.29, 14,453.81 and 8,635.75 is: 13,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.29 : 14,453.81 = 8,635.75 : x
  2. Step 2: Convert to fraction form
    9,601.29/14,453.81 = 8,635.75/x
  3. Step 3: Cross multiply
    9,601.29x = 14,453.81 × 8,635.75
  4. Step 4: Simplify right side
    9,601.29x = 124,819,486.07
  5. Step 5: Solve for x
    x = 124,819,486.07/9,601.29
  6. Step 6: Final answer
    x = 13,000.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.