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Finding the Fourth Proportional to 9,982.56, 14,973.64 and 4,434.40

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Solution

The fourth proportional to 9,982.56, 14,973.64 and 4,434.40 is: 6,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.56 : 14,973.64 = 4,434.40 : x
  2. Step 2: Convert to fraction form
    9,982.56/14,973.64 = 4,434.40/x
  3. Step 3: Cross multiply
    9,982.56x = 14,973.64 × 4,434.40
  4. Step 4: Simplify right side
    9,982.56x = 66,399,109.22
  5. Step 5: Solve for x
    x = 66,399,109.22/9,982.56
  6. Step 6: Final answer
    x = 6,651.51

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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.