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Finding the Fourth Proportional to 7,014.02, 9,680.46 and 4,219.52

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Solution

The fourth proportional to 7,014.02, 9,680.46 and 4,219.52 is: 5,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.02 : 9,680.46 = 4,219.52 : x
  2. Step 2: Convert to fraction form
    7,014.02/9,680.46 = 4,219.52/x
  3. Step 3: Cross multiply
    7,014.02x = 9,680.46 × 4,219.52
  4. Step 4: Simplify right side
    7,014.02x = 40,846,894.58
  5. Step 5: Solve for x
    x = 40,846,894.58/7,014.02
  6. Step 6: Final answer
    x = 5,823.61

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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.