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Finding the Fourth Proportional to 6,477.36, 9,716.04 and 2,582.72

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Solution

The fourth proportional to 6,477.36, 9,716.04 and 2,582.72 is: 3,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.36 : 9,716.04 = 2,582.72 : x
  2. Step 2: Convert to fraction form
    6,477.36/9,716.04 = 2,582.72/x
  3. Step 3: Cross multiply
    6,477.36x = 9,716.04 × 2,582.72
  4. Step 4: Simplify right side
    6,477.36x = 25,093,810.83
  5. Step 5: Solve for x
    x = 25,093,810.83/6,477.36
  6. Step 6: Final answer
    x = 3,874.08

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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.