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Finding the Fourth Proportional to 6,533.73, 9,025.21 and 5,135.06

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Solution

The fourth proportional to 6,533.73, 9,025.21 and 5,135.06 is: 7,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.73 : 9,025.21 = 5,135.06 : x
  2. Step 2: Convert to fraction form
    6,533.73/9,025.21 = 5,135.06/x
  3. Step 3: Cross multiply
    6,533.73x = 9,025.21 × 5,135.06
  4. Step 4: Simplify right side
    6,533.73x = 46,344,994.86
  5. Step 5: Solve for x
    x = 46,344,994.86/6,533.73
  6. Step 6: Final answer
    x = 7,093.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.