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Finding the Fourth Proportional to 6,650.19, 9,176.00 and 4,164.75

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Solution

The fourth proportional to 6,650.19, 9,176.00 and 4,164.75 is: 5,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.19 : 9,176.00 = 4,164.75 : x
  2. Step 2: Convert to fraction form
    6,650.19/9,176.00 = 4,164.75/x
  3. Step 3: Cross multiply
    6,650.19x = 9,176.00 × 4,164.75
  4. Step 4: Simplify right side
    6,650.19x = 38,215,725.18
  5. Step 5: Solve for x
    x = 38,215,725.18/6,650.19
  6. Step 6: Final answer
    x = 5,746.56

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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.