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Finding the Fourth Proportional to 9,720.88, 13,402.56 and 6,358.37

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Solution

The fourth proportional to 9,720.88, 13,402.56 and 6,358.37 is: 8,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.88 : 13,402.56 = 6,358.37 : x
  2. Step 2: Convert to fraction form
    9,720.88/13,402.56 = 6,358.37/x
  3. Step 3: Cross multiply
    9,720.88x = 13,402.56 × 6,358.37
  4. Step 4: Simplify right side
    9,720.88x = 85,218,435.43
  5. Step 5: Solve for x
    x = 85,218,435.43/9,720.88
  6. Step 6: Final answer
    x = 8,766.54

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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.