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Finding the Fourth Proportional to 7,021.63, 9,691.08 and 4,189.18

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Solution

The fourth proportional to 7,021.63, 9,691.08 and 4,189.18 is: 5,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.63 : 9,691.08 = 4,189.18 : x
  2. Step 2: Convert to fraction form
    7,021.63/9,691.08 = 4,189.18/x
  3. Step 3: Cross multiply
    7,021.63x = 9,691.08 × 4,189.18
  4. Step 4: Simplify right side
    7,021.63x = 40,597,678.51
  5. Step 5: Solve for x
    x = 40,597,678.51/7,021.63
  6. Step 6: Final answer
    x = 5,781.80

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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.