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Finding the Fourth Proportional to 9,970.44, 13,764.43 and 6,621.14

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Solution

The fourth proportional to 9,970.44, 13,764.43 and 6,621.14 is: 9,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.44 : 13,764.43 = 6,621.14 : x
  2. Step 2: Convert to fraction form
    9,970.44/13,764.43 = 6,621.14/x
  3. Step 3: Cross multiply
    9,970.44x = 13,764.43 × 6,621.14
  4. Step 4: Simplify right side
    9,970.44x = 91,136,260.74
  5. Step 5: Solve for x
    x = 91,136,260.74/9,970.44
  6. Step 6: Final answer
    x = 9,140.64

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Why These Related Problems?

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