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Finding the Fourth Proportional to 6,956.93, 9,600.43 and 4,303.64

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Solution

The fourth proportional to 6,956.93, 9,600.43 and 4,303.64 is: 5,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.93 : 9,600.43 = 4,303.64 : x
  2. Step 2: Convert to fraction form
    6,956.93/9,600.43 = 4,303.64/x
  3. Step 3: Cross multiply
    6,956.93x = 9,600.43 × 4,303.64
  4. Step 4: Simplify right side
    6,956.93x = 41,316,794.57
  5. Step 5: Solve for x
    x = 41,316,794.57/6,956.93
  6. Step 6: Final answer
    x = 5,938.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.