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Finding the Fourth Proportional to 6,852.12, 9,454.47 and 4,164.72

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Solution

The fourth proportional to 6,852.12, 9,454.47 and 4,164.72 is: 5,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.12 : 9,454.47 = 4,164.72 : x
  2. Step 2: Convert to fraction form
    6,852.12/9,454.47 = 4,164.72/x
  3. Step 3: Cross multiply
    6,852.12x = 9,454.47 × 4,164.72
  4. Step 4: Simplify right side
    6,852.12x = 39,375,220.30
  5. Step 5: Solve for x
    x = 39,375,220.30/6,852.12
  6. Step 6: Final answer
    x = 5,746.43

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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.