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Finding the Fourth Proportional to 6,071.65, 9,109.76 and 2,376.52

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Solution

The fourth proportional to 6,071.65, 9,109.76 and 2,376.52 is: 3,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.65 : 9,109.76 = 2,376.52 : x
  2. Step 2: Convert to fraction form
    6,071.65/9,109.76 = 2,376.52/x
  3. Step 3: Cross multiply
    6,071.65x = 9,109.76 × 2,376.52
  4. Step 4: Simplify right side
    6,071.65x = 21,649,487.23
  5. Step 5: Solve for x
    x = 21,649,487.23/6,071.65
  6. Step 6: Final answer
    x = 3,565.67

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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.