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Finding the Fourth Proportional to 7,040.14, 9,714.74 and 4,206.95

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Solution

The fourth proportional to 7,040.14, 9,714.74 and 4,206.95 is: 5,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.14 : 9,714.74 = 4,206.95 : x
  2. Step 2: Convert to fraction form
    7,040.14/9,714.74 = 4,206.95/x
  3. Step 3: Cross multiply
    7,040.14x = 9,714.74 × 4,206.95
  4. Step 4: Simplify right side
    7,040.14x = 40,869,425.44
  5. Step 5: Solve for x
    x = 40,869,425.44/7,040.14
  6. Step 6: Final answer
    x = 5,805.20

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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.