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Finding the Fourth Proportional to 9,296.45, 13,946.30 and 3,054.73

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Solution

The fourth proportional to 9,296.45, 13,946.30 and 3,054.73 is: 4,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.45 : 13,946.30 = 3,054.73 : x
  2. Step 2: Convert to fraction form
    9,296.45/13,946.30 = 3,054.73/x
  3. Step 3: Cross multiply
    9,296.45x = 13,946.30 × 3,054.73
  4. Step 4: Simplify right side
    9,296.45x = 42,602,181.00
  5. Step 5: Solve for x
    x = 42,602,181.00/9,296.45
  6. Step 6: Final answer
    x = 4,582.63

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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.