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Finding the Fourth Proportional to 9,720.83, 13,438.67 and 9,632.03

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Solution

The fourth proportional to 9,720.83, 13,438.67 and 9,632.03 is: 13,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.83 : 13,438.67 = 9,632.03 : x
  2. Step 2: Convert to fraction form
    9,720.83/13,438.67 = 9,632.03/x
  3. Step 3: Cross multiply
    9,720.83x = 13,438.67 × 9,632.03
  4. Step 4: Simplify right side
    9,720.83x = 129,441,672.60
  5. Step 5: Solve for x
    x = 129,441,672.60/9,720.83
  6. Step 6: Final answer
    x = 13,315.91

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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.