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Finding the Fourth Proportional to 6,228.51, 9,342.61 and 2,280.67

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Solution

The fourth proportional to 6,228.51, 9,342.61 and 2,280.67 is: 3,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.51 : 9,342.61 = 2,280.67 : x
  2. Step 2: Convert to fraction form
    6,228.51/9,342.61 = 2,280.67/x
  3. Step 3: Cross multiply
    6,228.51x = 9,342.61 × 2,280.67
  4. Step 4: Simplify right side
    6,228.51x = 21,307,381.29
  5. Step 5: Solve for x
    x = 21,307,381.29/6,228.51
  6. Step 6: Final answer
    x = 3,420.95

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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.