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Finding the Fourth Proportional to 9,461.96, 14,201.68 and 4,785.28

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Solution

The fourth proportional to 9,461.96, 14,201.68 and 4,785.28 is: 7,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.96 : 14,201.68 = 4,785.28 : x
  2. Step 2: Convert to fraction form
    9,461.96/14,201.68 = 4,785.28/x
  3. Step 3: Cross multiply
    9,461.96x = 14,201.68 × 4,785.28
  4. Step 4: Simplify right side
    9,461.96x = 67,959,015.27
  5. Step 5: Solve for x
    x = 67,959,015.27/9,461.96
  6. Step 6: Final answer
    x = 7,182.34

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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.