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Finding the Fourth Proportional to 9,214.56, 13,812.32 and 4,280.18

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Solution

The fourth proportional to 9,214.56, 13,812.32 and 4,280.18 is: 6,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.56 : 13,812.32 = 4,280.18 : x
  2. Step 2: Convert to fraction form
    9,214.56/13,812.32 = 4,280.18/x
  3. Step 3: Cross multiply
    9,214.56x = 13,812.32 × 4,280.18
  4. Step 4: Simplify right side
    9,214.56x = 59,119,215.82
  5. Step 5: Solve for x
    x = 59,119,215.82/9,214.56
  6. Step 6: Final answer
    x = 6,415.85

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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.