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Finding the Fourth Proportional to 6,341.70, 8,733.53 and 6,206.02

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Solution

The fourth proportional to 6,341.70, 8,733.53 and 6,206.02 is: 8,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.70 : 8,733.53 = 6,206.02 : x
  2. Step 2: Convert to fraction form
    6,341.70/8,733.53 = 6,206.02/x
  3. Step 3: Cross multiply
    6,341.70x = 8,733.53 × 6,206.02
  4. Step 4: Simplify right side
    6,341.70x = 54,200,461.85
  5. Step 5: Solve for x
    x = 54,200,461.85/6,341.70
  6. Step 6: Final answer
    x = 8,546.68

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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.