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Finding the Fourth Proportional to 6,412.26, 8,847.72 and 4,055.16

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Solution

The fourth proportional to 6,412.26, 8,847.72 and 4,055.16 is: 5,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.26 : 8,847.72 = 4,055.16 : x
  2. Step 2: Convert to fraction form
    6,412.26/8,847.72 = 4,055.16/x
  3. Step 3: Cross multiply
    6,412.26x = 8,847.72 × 4,055.16
  4. Step 4: Simplify right side
    6,412.26x = 35,878,920.24
  5. Step 5: Solve for x
    x = 35,878,920.24/6,412.26
  6. Step 6: Final answer
    x = 5,595.36

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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.