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Finding the Fourth Proportional to 9,377.65, 14,064 and 2,802.27

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Solution

The fourth proportional to 9,377.65, 14,064 and 2,802.27 is: 4,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.65 : 14,064 = 2,802.27 : x
  2. Step 2: Convert to fraction form
    9,377.65/14,064 = 2,802.27/x
  3. Step 3: Cross multiply
    9,377.65x = 14,064 × 2,802.27
  4. Step 4: Simplify right side
    9,377.65x = 39,411,125.28
  5. Step 5: Solve for x
    x = 39,411,125.28/9,377.65
  6. Step 6: Final answer
    x = 4,202.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.