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Finding the Fourth Proportional to 9,626.80, 14,442.94 and 4,696.48

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Solution

The fourth proportional to 9,626.80, 14,442.94 and 4,696.48 is: 7,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.80 : 14,442.94 = 4,696.48 : x
  2. Step 2: Convert to fraction form
    9,626.80/14,442.94 = 4,696.48/x
  3. Step 3: Cross multiply
    9,626.80x = 14,442.94 × 4,696.48
  4. Step 4: Simplify right side
    9,626.80x = 67,830,978.85
  5. Step 5: Solve for x
    x = 67,830,978.85/9,626.80
  6. Step 6: Final answer
    x = 7,046.06

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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.