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Finding the Fourth Proportional to 9,707.68, 14,561.52 and 6,441.64

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Solution

The fourth proportional to 9,707.68, 14,561.52 and 6,441.64 is: 9,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.68 : 14,561.52 = 6,441.64 : x
  2. Step 2: Convert to fraction form
    9,707.68/14,561.52 = 6,441.64/x
  3. Step 3: Cross multiply
    9,707.68x = 14,561.52 × 6,441.64
  4. Step 4: Simplify right side
    9,707.68x = 93,800,069.69
  5. Step 5: Solve for x
    x = 93,800,069.69/9,707.68
  6. Step 6: Final answer
    x = 9,662.46

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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.