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Finding the Fourth Proportional to 9,974.60, 14,945.10 and 7,886.60

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Solution

The fourth proportional to 9,974.60, 14,945.10 and 7,886.60 is: 11,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.60 : 14,945.10 = 7,886.60 : x
  2. Step 2: Convert to fraction form
    9,974.60/14,945.10 = 7,886.60/x
  3. Step 3: Cross multiply
    9,974.60x = 14,945.10 × 7,886.60
  4. Step 4: Simplify right side
    9,974.60x = 117,866,025.66
  5. Step 5: Solve for x
    x = 117,866,025.66/9,974.60
  6. Step 6: Final answer
    x = 11,816.62

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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.