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Finding the Fourth Proportional to 6,471, 8,929.56 and 3,817.80

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Solution

The fourth proportional to 6,471, 8,929.56 and 3,817.80 is: 5,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471 : 8,929.56 = 3,817.80 : x
  2. Step 2: Convert to fraction form
    6,471/8,929.56 = 3,817.80/x
  3. Step 3: Cross multiply
    6,471x = 8,929.56 × 3,817.80
  4. Step 4: Simplify right side
    6,471x = 34,091,274.17
  5. Step 5: Solve for x
    x = 34,091,274.17/6,471
  6. Step 6: Final answer
    x = 5,268.32

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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.