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Finding the Fourth Proportional to 9,386.10, 14,076.90 and 5,428.80

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Solution

The fourth proportional to 9,386.10, 14,076.90 and 5,428.80 is: 8,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.10 : 14,076.90 = 5,428.80 : x
  2. Step 2: Convert to fraction form
    9,386.10/14,076.90 = 5,428.80/x
  3. Step 3: Cross multiply
    9,386.10x = 14,076.90 × 5,428.80
  4. Step 4: Simplify right side
    9,386.10x = 76,420,674.72
  5. Step 5: Solve for x
    x = 76,420,674.72/9,386.10
  6. Step 6: Final answer
    x = 8,141.90

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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.