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Finding the Fourth Proportional to 6,354.09, 8,769.19 and 3,701.74

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Solution

The fourth proportional to 6,354.09, 8,769.19 and 3,701.74 is: 5,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.09 : 8,769.19 = 3,701.74 : x
  2. Step 2: Convert to fraction form
    6,354.09/8,769.19 = 3,701.74/x
  3. Step 3: Cross multiply
    6,354.09x = 8,769.19 × 3,701.74
  4. Step 4: Simplify right side
    6,354.09x = 32,461,261.39
  5. Step 5: Solve for x
    x = 32,461,261.39/6,354.09
  6. Step 6: Final answer
    x = 5,108.72

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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.