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Finding the Fourth Proportional to 9,984.36, 14,965.71 and 4,922.06

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Solution

The fourth proportional to 9,984.36, 14,965.71 and 4,922.06 is: 7,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.36 : 14,965.71 = 4,922.06 : x
  2. Step 2: Convert to fraction form
    9,984.36/14,965.71 = 4,922.06/x
  3. Step 3: Cross multiply
    9,984.36x = 14,965.71 × 4,922.06
  4. Step 4: Simplify right side
    9,984.36x = 73,662,029.28
  5. Step 5: Solve for x
    x = 73,662,029.28/9,984.36
  6. Step 6: Final answer
    x = 7,377.74

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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.