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Finding the Fourth Proportional to 6,046.83, 9,055.62 and 5,230.35

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Solution

The fourth proportional to 6,046.83, 9,055.62 and 5,230.35 is: 7,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.83 : 9,055.62 = 5,230.35 : x
  2. Step 2: Convert to fraction form
    6,046.83/9,055.62 = 5,230.35/x
  3. Step 3: Cross multiply
    6,046.83x = 9,055.62 × 5,230.35
  4. Step 4: Simplify right side
    6,046.83x = 47,364,062.07
  5. Step 5: Solve for x
    x = 47,364,062.07/6,046.83
  6. Step 6: Final answer
    x = 7,832.87

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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.