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Finding the Fourth Proportional to 9,956.30, 14,942.55 and 9,632.30

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Solution

The fourth proportional to 9,956.30, 14,942.55 and 9,632.30 is: 14,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.30 : 14,942.55 = 9,632.30 : x
  2. Step 2: Convert to fraction form
    9,956.30/14,942.55 = 9,632.30/x
  3. Step 3: Cross multiply
    9,956.30x = 14,942.55 × 9,632.30
  4. Step 4: Simplify right side
    9,956.30x = 143,931,124.37
  5. Step 5: Solve for x
    x = 143,931,124.37/9,956.30
  6. Step 6: Final answer
    x = 14,456.29

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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.