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Finding the Fourth Proportional to 6,109.14, 8,430.89 and 4,780.54

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Solution

The fourth proportional to 6,109.14, 8,430.89 and 4,780.54 is: 6,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.14 : 8,430.89 = 4,780.54 : x
  2. Step 2: Convert to fraction form
    6,109.14/8,430.89 = 4,780.54/x
  3. Step 3: Cross multiply
    6,109.14x = 8,430.89 × 4,780.54
  4. Step 4: Simplify right side
    6,109.14x = 40,304,197.75
  5. Step 5: Solve for x
    x = 40,304,197.75/6,109.14
  6. Step 6: Final answer
    x = 6,597.36

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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.