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Finding the Fourth Proportional to 11,914.20, 16,470.27 and 9,095.40

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Solution

The fourth proportional to 11,914.20, 16,470.27 and 9,095.40 is: 12,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.20 : 16,470.27 = 9,095.40 : x
  2. Step 2: Convert to fraction form
    11,914.20/16,470.27 = 9,095.40/x
  3. Step 3: Cross multiply
    11,914.20x = 16,470.27 × 9,095.40
  4. Step 4: Simplify right side
    11,914.20x = 149,803,693.76
  5. Step 5: Solve for x
    x = 149,803,693.76/11,914.20
  6. Step 6: Final answer
    x = 12,573.54

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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.