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Finding the Fourth Proportional to 9,298.76, 13,944.31 and 4,617.05

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Solution

The fourth proportional to 9,298.76, 13,944.31 and 4,617.05 is: 6,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.76 : 13,944.31 = 4,617.05 : x
  2. Step 2: Convert to fraction form
    9,298.76/13,944.31 = 4,617.05/x
  3. Step 3: Cross multiply
    9,298.76x = 13,944.31 × 4,617.05
  4. Step 4: Simplify right side
    9,298.76x = 64,381,576.49
  5. Step 5: Solve for x
    x = 64,381,576.49/9,298.76
  6. Step 6: Final answer
    x = 6,923.67

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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.