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Finding the Fourth Proportional to 9,304.64, 13,938.11 and 4,299.90

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Solution

The fourth proportional to 9,304.64, 13,938.11 and 4,299.90 is: 6,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.64 : 13,938.11 = 4,299.90 : x
  2. Step 2: Convert to fraction form
    9,304.64/13,938.11 = 4,299.90/x
  3. Step 3: Cross multiply
    9,304.64x = 13,938.11 × 4,299.90
  4. Step 4: Simplify right side
    9,304.64x = 59,932,457.69
  5. Step 5: Solve for x
    x = 59,932,457.69/9,304.64
  6. Step 6: Final answer
    x = 6,441.14

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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.