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Finding the Fourth Proportional to 9,475.54, 14,219.46 and 4,281.46

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Solution

The fourth proportional to 9,475.54, 14,219.46 and 4,281.46 is: 6,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.54 : 14,219.46 = 4,281.46 : x
  2. Step 2: Convert to fraction form
    9,475.54/14,219.46 = 4,281.46/x
  3. Step 3: Cross multiply
    9,475.54x = 14,219.46 × 4,281.46
  4. Step 4: Simplify right side
    9,475.54x = 60,880,049.21
  5. Step 5: Solve for x
    x = 60,880,049.21/9,475.54
  6. Step 6: Final answer
    x = 6,424.97

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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.