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Finding the Fourth Proportional to 6,166.74, 8,506.95 and 4,672.02

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Solution

The fourth proportional to 6,166.74, 8,506.95 and 4,672.02 is: 6,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.74 : 8,506.95 = 4,672.02 : x
  2. Step 2: Convert to fraction form
    6,166.74/8,506.95 = 4,672.02/x
  3. Step 3: Cross multiply
    6,166.74x = 8,506.95 × 4,672.02
  4. Step 4: Simplify right side
    6,166.74x = 39,744,640.54
  5. Step 5: Solve for x
    x = 39,744,640.54/6,166.74
  6. Step 6: Final answer
    x = 6,445.00

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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.