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Finding the Fourth Proportional to 6,184.76, 9,281.25 and 2,289.06

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Solution

The fourth proportional to 6,184.76, 9,281.25 and 2,289.06 is: 3,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.76 : 9,281.25 = 2,289.06 : x
  2. Step 2: Convert to fraction form
    6,184.76/9,281.25 = 2,289.06/x
  3. Step 3: Cross multiply
    6,184.76x = 9,281.25 × 2,289.06
  4. Step 4: Simplify right side
    6,184.76x = 21,245,338.13
  5. Step 5: Solve for x
    x = 21,245,338.13/6,184.76
  6. Step 6: Final answer
    x = 3,435.11

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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.