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Finding the Fourth Proportional to 6,462.06, 8,922.60 and 4,697.88

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Solution

The fourth proportional to 6,462.06, 8,922.60 and 4,697.88 is: 6,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.06 : 8,922.60 = 4,697.88 : x
  2. Step 2: Convert to fraction form
    6,462.06/8,922.60 = 4,697.88/x
  3. Step 3: Cross multiply
    6,462.06x = 8,922.60 × 4,697.88
  4. Step 4: Simplify right side
    6,462.06x = 41,917,304.09
  5. Step 5: Solve for x
    x = 41,917,304.09/6,462.06
  6. Step 6: Final answer
    x = 6,486.68

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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.