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Finding the Fourth Proportional to 6,673.35, 9,205.74 and 4,155.06

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Solution

The fourth proportional to 6,673.35, 9,205.74 and 4,155.06 is: 5,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.35 : 9,205.74 = 4,155.06 : x
  2. Step 2: Convert to fraction form
    6,673.35/9,205.74 = 4,155.06/x
  3. Step 3: Cross multiply
    6,673.35x = 9,205.74 × 4,155.06
  4. Step 4: Simplify right side
    6,673.35x = 38,250,402.04
  5. Step 5: Solve for x
    x = 38,250,402.04/6,673.35
  6. Step 6: Final answer
    x = 5,731.81

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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.