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Finding the Fourth Proportional to 9,964.98, 14,956.72 and 5,038.09

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Solution

The fourth proportional to 9,964.98, 14,956.72 and 5,038.09 is: 7,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.98 : 14,956.72 = 5,038.09 : x
  2. Step 2: Convert to fraction form
    9,964.98/14,956.72 = 5,038.09/x
  3. Step 3: Cross multiply
    9,964.98x = 14,956.72 × 5,038.09
  4. Step 4: Simplify right side
    9,964.98x = 75,353,251.48
  5. Step 5: Solve for x
    x = 75,353,251.48/9,964.98
  6. Step 6: Final answer
    x = 7,561.81

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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.