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Finding the Fourth Proportional to 6,279.74, 9,419.33 and 1,897.07

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Solution

The fourth proportional to 6,279.74, 9,419.33 and 1,897.07 is: 2,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.74 : 9,419.33 = 1,897.07 : x
  2. Step 2: Convert to fraction form
    6,279.74/9,419.33 = 1,897.07/x
  3. Step 3: Cross multiply
    6,279.74x = 9,419.33 × 1,897.07
  4. Step 4: Simplify right side
    6,279.74x = 17,869,081.27
  5. Step 5: Solve for x
    x = 17,869,081.27/6,279.74
  6. Step 6: Final answer
    x = 2,845.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.