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Finding the Fourth Proportional to 6,296.08, 9,480.71 and 4,664.20

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Solution

The fourth proportional to 6,296.08, 9,480.71 and 4,664.20 is: 7,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.08 : 9,480.71 = 4,664.20 : x
  2. Step 2: Convert to fraction form
    6,296.08/9,480.71 = 4,664.20/x
  3. Step 3: Cross multiply
    6,296.08x = 9,480.71 × 4,664.20
  4. Step 4: Simplify right side
    6,296.08x = 44,219,927.58
  5. Step 5: Solve for x
    x = 44,219,927.58/6,296.08
  6. Step 6: Final answer
    x = 7,023.41

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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.