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Finding the Fourth Proportional to 9,131.10, 13,708.80 and 7,284.30

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Solution

The fourth proportional to 9,131.10, 13,708.80 and 7,284.30 is: 10,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.10 : 13,708.80 = 7,284.30 : x
  2. Step 2: Convert to fraction form
    9,131.10/13,708.80 = 7,284.30/x
  3. Step 3: Cross multiply
    9,131.10x = 13,708.80 × 7,284.30
  4. Step 4: Simplify right side
    9,131.10x = 99,859,011.84
  5. Step 5: Solve for x
    x = 99,859,011.84/9,131.10
  6. Step 6: Final answer
    x = 10,936.14

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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.