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Finding the Fourth Proportional to 9,982.72, 14,977.32 and 4,789

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Solution

The fourth proportional to 9,982.72, 14,977.32 and 4,789 is: 7,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.72 : 14,977.32 = 4,789 : x
  2. Step 2: Convert to fraction form
    9,982.72/14,977.32 = 4,789/x
  3. Step 3: Cross multiply
    9,982.72x = 14,977.32 × 4,789
  4. Step 4: Simplify right side
    9,982.72x = 71,726,385.48
  5. Step 5: Solve for x
    x = 71,726,385.48/9,982.72
  6. Step 6: Final answer
    x = 7,185.05

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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.