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Finding the Fourth Proportional to 9,652.06, 14,453.28 and 6,686.27

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Solution

The fourth proportional to 9,652.06, 14,453.28 and 6,686.27 is: 10,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.06 : 14,453.28 = 6,686.27 : x
  2. Step 2: Convert to fraction form
    9,652.06/14,453.28 = 6,686.27/x
  3. Step 3: Cross multiply
    9,652.06x = 14,453.28 × 6,686.27
  4. Step 4: Simplify right side
    9,652.06x = 96,638,426.77
  5. Step 5: Solve for x
    x = 96,638,426.77/9,652.06
  6. Step 6: Final answer
    x = 10,012.21

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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.