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Finding the Fourth Proportional to 9,434.56, 13,020.32 and 6,296

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Solution

The fourth proportional to 9,434.56, 13,020.32 and 6,296 is: 8,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.56 : 13,020.32 = 6,296 : x
  2. Step 2: Convert to fraction form
    9,434.56/13,020.32 = 6,296/x
  3. Step 3: Cross multiply
    9,434.56x = 13,020.32 × 6,296
  4. Step 4: Simplify right side
    9,434.56x = 81,975,934.72
  5. Step 5: Solve for x
    x = 81,975,934.72/9,434.56
  6. Step 6: Final answer
    x = 8,688.90

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