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Finding the Fourth Proportional to 6,403.32, 9,588.14 and 5,147.24

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Solution

The fourth proportional to 6,403.32, 9,588.14 and 5,147.24 is: 7,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.32 : 9,588.14 = 5,147.24 : x
  2. Step 2: Convert to fraction form
    6,403.32/9,588.14 = 5,147.24/x
  3. Step 3: Cross multiply
    6,403.32x = 9,588.14 × 5,147.24
  4. Step 4: Simplify right side
    6,403.32x = 49,352,457.73
  5. Step 5: Solve for x
    x = 49,352,457.73/6,403.32
  6. Step 6: Final answer
    x = 7,707.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.