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Finding the Fourth Proportional to 6,031.65, 9,065.88 and 5,902.44

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Solution

The fourth proportional to 6,031.65, 9,065.88 and 5,902.44 is: 8,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.65 : 9,065.88 = 5,902.44 : x
  2. Step 2: Convert to fraction form
    6,031.65/9,065.88 = 5,902.44/x
  3. Step 3: Cross multiply
    6,031.65x = 9,065.88 × 5,902.44
  4. Step 4: Simplify right side
    6,031.65x = 53,510,812.75
  5. Step 5: Solve for x
    x = 53,510,812.75/6,031.65
  6. Step 6: Final answer
    x = 8,871.67

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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.