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Finding the Fourth Proportional to 6,546.01, 9,862.70 and 5,922.04

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Solution

The fourth proportional to 6,546.01, 9,862.70 and 5,922.04 is: 8,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.01 : 9,862.70 = 5,922.04 : x
  2. Step 2: Convert to fraction form
    6,546.01/9,862.70 = 5,922.04/x
  3. Step 3: Cross multiply
    6,546.01x = 9,862.70 × 5,922.04
  4. Step 4: Simplify right side
    6,546.01x = 58,407,303.91
  5. Step 5: Solve for x
    x = 58,407,303.91/6,546.01
  6. Step 6: Final answer
    x = 8,922.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.