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Finding the Fourth Proportional to 6,471.20, 8,929.76 and 3,818.46

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Solution

The fourth proportional to 6,471.20, 8,929.76 and 3,818.46 is: 5,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.20 : 8,929.76 = 3,818.46 : x
  2. Step 2: Convert to fraction form
    6,471.20/8,929.76 = 3,818.46/x
  3. Step 3: Cross multiply
    6,471.20x = 8,929.76 × 3,818.46
  4. Step 4: Simplify right side
    6,471.20x = 34,097,931.37
  5. Step 5: Solve for x
    x = 34,097,931.37/6,471.20
  6. Step 6: Final answer
    x = 5,269.18

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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.