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Finding the Fourth Proportional to 6,506.70, 8,977.04 and 3,673.74

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Solution

The fourth proportional to 6,506.70, 8,977.04 and 3,673.74 is: 5,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.70 : 8,977.04 = 3,673.74 : x
  2. Step 2: Convert to fraction form
    6,506.70/8,977.04 = 3,673.74/x
  3. Step 3: Cross multiply
    6,506.70x = 8,977.04 × 3,673.74
  4. Step 4: Simplify right side
    6,506.70x = 32,979,292.56
  5. Step 5: Solve for x
    x = 32,979,292.56/6,506.70
  6. Step 6: Final answer
    x = 5,068.51

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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.