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Finding the Fourth Proportional to 9,980.72, 14,974.32 and 4,787

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Solution

The fourth proportional to 9,980.72, 14,974.32 and 4,787 is: 7,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.72 : 14,974.32 = 4,787 : x
  2. Step 2: Convert to fraction form
    9,980.72/14,974.32 = 4,787/x
  3. Step 3: Cross multiply
    9,980.72x = 14,974.32 × 4,787
  4. Step 4: Simplify right side
    9,980.72x = 71,682,069.84
  5. Step 5: Solve for x
    x = 71,682,069.84/9,980.72
  6. Step 6: Final answer
    x = 7,182.05

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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.