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Finding the Fourth Proportional to 8,883.68, 12,271.92 and 6,412.64

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Solution

The fourth proportional to 8,883.68, 12,271.92 and 6,412.64 is: 8,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,883.68 : 12,271.92 = 6,412.64 : x
  2. Step 2: Convert to fraction form
    8,883.68/12,271.92 = 6,412.64/x
  3. Step 3: Cross multiply
    8,883.68x = 12,271.92 × 6,412.64
  4. Step 4: Simplify right side
    8,883.68x = 78,695,405.07
  5. Step 5: Solve for x
    x = 78,695,405.07/8,883.68
  6. Step 6: Final answer
    x = 8,858.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.