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Finding the Fourth Proportional to 9,981.72, 14,975.82 and 4,788

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Solution

The fourth proportional to 9,981.72, 14,975.82 and 4,788 is: 7,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.72 : 14,975.82 = 4,788 : x
  2. Step 2: Convert to fraction form
    9,981.72/14,975.82 = 4,788/x
  3. Step 3: Cross multiply
    9,981.72x = 14,975.82 × 4,788
  4. Step 4: Simplify right side
    9,981.72x = 71,704,226.16
  5. Step 5: Solve for x
    x = 71,704,226.16/9,981.72
  6. Step 6: Final answer
    x = 7,183.55

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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.