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Finding the Fourth Proportional to 9,285.90, 12,814.49 and 5,036.97

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Solution

The fourth proportional to 9,285.90, 12,814.49 and 5,036.97 is: 6,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.90 : 12,814.49 = 5,036.97 : x
  2. Step 2: Convert to fraction form
    9,285.90/12,814.49 = 5,036.97/x
  3. Step 3: Cross multiply
    9,285.90x = 12,814.49 × 5,036.97
  4. Step 4: Simplify right side
    9,285.90x = 64,546,201.70
  5. Step 5: Solve for x
    x = 64,546,201.70/9,285.90
  6. Step 6: Final answer
    x = 6,950.99

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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.