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Finding the Fourth Proportional to 9,366, 12,925.20 and 5,174.64

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Solution

The fourth proportional to 9,366, 12,925.20 and 5,174.64 is: 7,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366 : 12,925.20 = 5,174.64 : x
  2. Step 2: Convert to fraction form
    9,366/12,925.20 = 5,174.64/x
  3. Step 3: Cross multiply
    9,366x = 12,925.20 × 5,174.64
  4. Step 4: Simplify right side
    9,366x = 66,883,256.93
  5. Step 5: Solve for x
    x = 66,883,256.93/9,366
  6. Step 6: Final answer
    x = 7,141.07

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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.