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Finding the Fourth Proportional to 9,407.06, 12,982.14 and 5,428.16

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Solution

The fourth proportional to 9,407.06, 12,982.14 and 5,428.16 is: 7,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.06 : 12,982.14 = 5,428.16 : x
  2. Step 2: Convert to fraction form
    9,407.06/12,982.14 = 5,428.16/x
  3. Step 3: Cross multiply
    9,407.06x = 12,982.14 × 5,428.16
  4. Step 4: Simplify right side
    9,407.06x = 70,469,068.15
  5. Step 5: Solve for x
    x = 70,469,068.15/9,407.06
  6. Step 6: Final answer
    x = 7,491.09

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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.