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Finding the Fourth Proportional to 6,957.10, 9,601.32 and 4,306.05

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Solution

The fourth proportional to 6,957.10, 9,601.32 and 4,306.05 is: 5,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.10 : 9,601.32 = 4,306.05 : x
  2. Step 2: Convert to fraction form
    6,957.10/9,601.32 = 4,306.05/x
  3. Step 3: Cross multiply
    6,957.10x = 9,601.32 × 4,306.05
  4. Step 4: Simplify right side
    6,957.10x = 41,343,742.46
  5. Step 5: Solve for x
    x = 41,343,742.46/6,957.10
  6. Step 6: Final answer
    x = 5,942.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.