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Finding the Fourth Proportional to 9,475.38, 13,076.02 and 5,283.62

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Solution

The fourth proportional to 9,475.38, 13,076.02 and 5,283.62 is: 7,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.38 : 13,076.02 = 5,283.62 : x
  2. Step 2: Convert to fraction form
    9,475.38/13,076.02 = 5,283.62/x
  3. Step 3: Cross multiply
    9,475.38x = 13,076.02 × 5,283.62
  4. Step 4: Simplify right side
    9,475.38x = 69,088,720.79
  5. Step 5: Solve for x
    x = 69,088,720.79/9,475.38
  6. Step 6: Final answer
    x = 7,291.39

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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.