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Finding the Fourth Proportional to 9,828, 14,762.34 and 7,956.10

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Solution

The fourth proportional to 9,828, 14,762.34 and 7,956.10 is: 11,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 14,762.34 = 7,956.10 : x
  2. Step 2: Convert to fraction form
    9,828/14,762.34 = 7,956.10/x
  3. Step 3: Cross multiply
    9,828x = 14,762.34 × 7,956.10
  4. Step 4: Simplify right side
    9,828x = 117,450,653.27
  5. Step 5: Solve for x
    x = 117,450,653.27/9,828
  6. Step 6: Final answer
    x = 11,950.62

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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.