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Finding the Fourth Proportional to 9,956.72, 14,938.32 and 4,763

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Solution

The fourth proportional to 9,956.72, 14,938.32 and 4,763 is: 7,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.72 : 14,938.32 = 4,763 : x
  2. Step 2: Convert to fraction form
    9,956.72/14,938.32 = 4,763/x
  3. Step 3: Cross multiply
    9,956.72x = 14,938.32 × 4,763
  4. Step 4: Simplify right side
    9,956.72x = 71,151,218.16
  5. Step 5: Solve for x
    x = 71,151,218.16/9,956.72
  6. Step 6: Final answer
    x = 7,146.05

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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.