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Finding the Fourth Proportional to 9,696.61, 14,546.49 and 4,150.04

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Solution

The fourth proportional to 9,696.61, 14,546.49 and 4,150.04 is: 6,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.61 : 14,546.49 = 4,150.04 : x
  2. Step 2: Convert to fraction form
    9,696.61/14,546.49 = 4,150.04/x
  3. Step 3: Cross multiply
    9,696.61x = 14,546.49 × 4,150.04
  4. Step 4: Simplify right side
    9,696.61x = 60,368,427.06
  5. Step 5: Solve for x
    x = 60,368,427.06/9,696.61
  6. Step 6: Final answer
    x = 6,225.72

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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.