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Finding the Fourth Proportional to 9,745.79, 14,593.23 and 6,403.52

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Solution

The fourth proportional to 9,745.79, 14,593.23 and 6,403.52 is: 9,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.79 : 14,593.23 = 6,403.52 : x
  2. Step 2: Convert to fraction form
    9,745.79/14,593.23 = 6,403.52/x
  3. Step 3: Cross multiply
    9,745.79x = 14,593.23 × 6,403.52
  4. Step 4: Simplify right side
    9,745.79x = 93,448,076.65
  5. Step 5: Solve for x
    x = 93,448,076.65/9,745.79
  6. Step 6: Final answer
    x = 9,588.56

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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.