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Finding the Fourth Proportional to 9,964.68, 14,956.26 and 5,037.78

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Solution

The fourth proportional to 9,964.68, 14,956.26 and 5,037.78 is: 7,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.68 : 14,956.26 = 5,037.78 : x
  2. Step 2: Convert to fraction form
    9,964.68/14,956.26 = 5,037.78/x
  3. Step 3: Cross multiply
    9,964.68x = 14,956.26 × 5,037.78
  4. Step 4: Simplify right side
    9,964.68x = 75,346,347.50
  5. Step 5: Solve for x
    x = 75,346,347.50/9,964.68
  6. Step 6: Final answer
    x = 7,561.34

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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.