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Finding the Fourth Proportional to 8,284.44, 12,403.41 and 6,214.08

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Solution

The fourth proportional to 8,284.44, 12,403.41 and 6,214.08 is: 9,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.44 : 12,403.41 = 6,214.08 : x
  2. Step 2: Convert to fraction form
    8,284.44/12,403.41 = 6,214.08/x
  3. Step 3: Cross multiply
    8,284.44x = 12,403.41 × 6,214.08
  4. Step 4: Simplify right side
    8,284.44x = 77,075,782.01
  5. Step 5: Solve for x
    x = 77,075,782.01/8,284.44
  6. Step 6: Final answer
    x = 9,303.68

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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.