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Finding the Fourth Proportional to 6,559.63, 9,055.64 and 4,446.33

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Solution

The fourth proportional to 6,559.63, 9,055.64 and 4,446.33 is: 6,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.63 : 9,055.64 = 4,446.33 : x
  2. Step 2: Convert to fraction form
    6,559.63/9,055.64 = 4,446.33/x
  3. Step 3: Cross multiply
    6,559.63x = 9,055.64 × 4,446.33
  4. Step 4: Simplify right side
    6,559.63x = 40,264,363.80
  5. Step 5: Solve for x
    x = 40,264,363.80/6,559.63
  6. Step 6: Final answer
    x = 6,138.21

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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.