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Finding the Fourth Proportional to 9,461.97, 14,201.70 and 4,785.30

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Solution

The fourth proportional to 9,461.97, 14,201.70 and 4,785.30 is: 7,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.97 : 14,201.70 = 4,785.30 : x
  2. Step 2: Convert to fraction form
    9,461.97/14,201.70 = 4,785.30/x
  3. Step 3: Cross multiply
    9,461.97x = 14,201.70 × 4,785.30
  4. Step 4: Simplify right side
    9,461.97x = 67,959,395.01
  5. Step 5: Solve for x
    x = 67,959,395.01/9,461.97
  6. Step 6: Final answer
    x = 7,182.37

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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.