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Finding the Fourth Proportional to 6,322.59, 9,490.37 and 4,146.93

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Solution

The fourth proportional to 6,322.59, 9,490.37 and 4,146.93 is: 6,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.59 : 9,490.37 = 4,146.93 : x
  2. Step 2: Convert to fraction form
    6,322.59/9,490.37 = 4,146.93/x
  3. Step 3: Cross multiply
    6,322.59x = 9,490.37 × 4,146.93
  4. Step 4: Simplify right side
    6,322.59x = 39,355,879.33
  5. Step 5: Solve for x
    x = 39,355,879.33/6,322.59
  6. Step 6: Final answer
    x = 6,224.65

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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.