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Finding the Fourth Proportional to 6,470.10, 8,929.74 and 3,953.70

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Solution

The fourth proportional to 6,470.10, 8,929.74 and 3,953.70 is: 5,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.10 : 8,929.74 = 3,953.70 : x
  2. Step 2: Convert to fraction form
    6,470.10/8,929.74 = 3,953.70/x
  3. Step 3: Cross multiply
    6,470.10x = 8,929.74 × 3,953.70
  4. Step 4: Simplify right side
    6,470.10x = 35,305,513.04
  5. Step 5: Solve for x
    x = 35,305,513.04/6,470.10
  6. Step 6: Final answer
    x = 5,456.72

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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.