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Finding the Fourth Proportional to 9,415.81, 12,983.19 and 7,708.99

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Solution

The fourth proportional to 9,415.81, 12,983.19 and 7,708.99 is: 10,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.81 : 12,983.19 = 7,708.99 : x
  2. Step 2: Convert to fraction form
    9,415.81/12,983.19 = 7,708.99/x
  3. Step 3: Cross multiply
    9,415.81x = 12,983.19 × 7,708.99
  4. Step 4: Simplify right side
    9,415.81x = 100,087,281.88
  5. Step 5: Solve for x
    x = 100,087,281.88/9,415.81
  6. Step 6: Final answer
    x = 10,629.70

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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.