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Finding the Fourth Proportional to 9,696.83, 14,546.64 and 3,120.83

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Solution

The fourth proportional to 9,696.83, 14,546.64 and 3,120.83 is: 4,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.83 : 14,546.64 = 3,120.83 : x
  2. Step 2: Convert to fraction form
    9,696.83/14,546.64 = 3,120.83/x
  3. Step 3: Cross multiply
    9,696.83x = 14,546.64 × 3,120.83
  4. Step 4: Simplify right side
    9,696.83x = 45,397,590.51
  5. Step 5: Solve for x
    x = 45,397,590.51/9,696.83
  6. Step 6: Final answer
    x = 4,681.69

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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.