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Finding the Fourth Proportional to 6,347.63, 8,757.69 and 4,111.22

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Solution

The fourth proportional to 6,347.63, 8,757.69 and 4,111.22 is: 5,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.63 : 8,757.69 = 4,111.22 : x
  2. Step 2: Convert to fraction form
    6,347.63/8,757.69 = 4,111.22/x
  3. Step 3: Cross multiply
    6,347.63x = 8,757.69 × 4,111.22
  4. Step 4: Simplify right side
    6,347.63x = 36,004,746.49
  5. Step 5: Solve for x
    x = 36,004,746.49/6,347.63
  6. Step 6: Final answer
    x = 5,672.16

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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.