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Finding the Fourth Proportional to 9,956.79, 14,942.07 and 4,113.45

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Solution

The fourth proportional to 9,956.79, 14,942.07 and 4,113.45 is: 6,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.79 : 14,942.07 = 4,113.45 : x
  2. Step 2: Convert to fraction form
    9,956.79/14,942.07 = 4,113.45/x
  3. Step 3: Cross multiply
    9,956.79x = 14,942.07 × 4,113.45
  4. Step 4: Simplify right side
    9,956.79x = 61,463,457.84
  5. Step 5: Solve for x
    x = 61,463,457.84/9,956.79
  6. Step 6: Final answer
    x = 6,173.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.