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Finding the Fourth Proportional to 9,544.79, 13,178.38 and 7,302.76

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Solution

The fourth proportional to 9,544.79, 13,178.38 and 7,302.76 is: 10,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.79 : 13,178.38 = 7,302.76 : x
  2. Step 2: Convert to fraction form
    9,544.79/13,178.38 = 7,302.76/x
  3. Step 3: Cross multiply
    9,544.79x = 13,178.38 × 7,302.76
  4. Step 4: Simplify right side
    9,544.79x = 96,238,546.33
  5. Step 5: Solve for x
    x = 96,238,546.33/9,544.79
  6. Step 6: Final answer
    x = 10,082.84

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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.