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Finding the Fourth Proportional to 9,358.50, 12,904.20 and 7,651.68

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Solution

The fourth proportional to 9,358.50, 12,904.20 and 7,651.68 is: 10,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.50 : 12,904.20 = 7,651.68 : x
  2. Step 2: Convert to fraction form
    9,358.50/12,904.20 = 7,651.68/x
  3. Step 3: Cross multiply
    9,358.50x = 12,904.20 × 7,651.68
  4. Step 4: Simplify right side
    9,358.50x = 98,738,809.06
  5. Step 5: Solve for x
    x = 98,738,809.06/9,358.50
  6. Step 6: Final answer
    x = 10,550.71

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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.