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Finding the Fourth Proportional to 6,514.04, 9,771.36 and 1,897.04

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Solution

The fourth proportional to 6,514.04, 9,771.36 and 1,897.04 is: 2,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.04 : 9,771.36 = 1,897.04 : x
  2. Step 2: Convert to fraction form
    6,514.04/9,771.36 = 1,897.04/x
  3. Step 3: Cross multiply
    6,514.04x = 9,771.36 × 1,897.04
  4. Step 4: Simplify right side
    6,514.04x = 18,536,660.77
  5. Step 5: Solve for x
    x = 18,536,660.77/6,514.04
  6. Step 6: Final answer
    x = 2,845.65

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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.