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Finding the Fourth Proportional to 6,139.10, 9,208.65 and 5,774.60

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Solution

The fourth proportional to 6,139.10, 9,208.65 and 5,774.60 is: 8,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.10 : 9,208.65 = 5,774.60 : x
  2. Step 2: Convert to fraction form
    6,139.10/9,208.65 = 5,774.60/x
  3. Step 3: Cross multiply
    6,139.10x = 9,208.65 × 5,774.60
  4. Step 4: Simplify right side
    6,139.10x = 53,176,270.29
  5. Step 5: Solve for x
    x = 53,176,270.29/6,139.10
  6. Step 6: Final answer
    x = 8,661.90

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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.