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Finding the Fourth Proportional to 9,985.57, 14,984.27 and 5,305.39

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Solution

The fourth proportional to 9,985.57, 14,984.27 and 5,305.39 is: 7,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.57 : 14,984.27 = 5,305.39 : x
  2. Step 2: Convert to fraction form
    9,985.57/14,984.27 = 5,305.39/x
  3. Step 3: Cross multiply
    9,985.57x = 14,984.27 × 5,305.39
  4. Step 4: Simplify right side
    9,985.57x = 79,497,396.22
  5. Step 5: Solve for x
    x = 79,497,396.22/9,985.57
  6. Step 6: Final answer
    x = 7,961.23

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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.