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Finding the Fourth Proportional to 9,320.01, 13,980 and 6,389.43

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Solution

The fourth proportional to 9,320.01, 13,980 and 6,389.43 is: 9,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.01 : 13,980 = 6,389.43 : x
  2. Step 2: Convert to fraction form
    9,320.01/13,980 = 6,389.43/x
  3. Step 3: Cross multiply
    9,320.01x = 13,980 × 6,389.43
  4. Step 4: Simplify right side
    9,320.01x = 89,324,231.40
  5. Step 5: Solve for x
    x = 89,324,231.40/9,320.01
  6. Step 6: Final answer
    x = 9,584.13

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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.