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Finding the Fourth Proportional to 6,443.94, 8,826 and 6,065.68

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Solution

The fourth proportional to 6,443.94, 8,826 and 6,065.68 is: 8,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.94 : 8,826 = 6,065.68 : x
  2. Step 2: Convert to fraction form
    6,443.94/8,826 = 6,065.68/x
  3. Step 3: Cross multiply
    6,443.94x = 8,826 × 6,065.68
  4. Step 4: Simplify right side
    6,443.94x = 53,535,691.68
  5. Step 5: Solve for x
    x = 53,535,691.68/6,443.94
  6. Step 6: Final answer
    x = 8,307.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.