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Finding the Fourth Proportional to 9,485.10, 14,243.49 and 6,385.05

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Solution

The fourth proportional to 9,485.10, 14,243.49 and 6,385.05 is: 9,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.10 : 14,243.49 = 6,385.05 : x
  2. Step 2: Convert to fraction form
    9,485.10/14,243.49 = 6,385.05/x
  3. Step 3: Cross multiply
    9,485.10x = 14,243.49 × 6,385.05
  4. Step 4: Simplify right side
    9,485.10x = 90,945,395.82
  5. Step 5: Solve for x
    x = 90,945,395.82/9,485.10
  6. Step 6: Final answer
    x = 9,588.24

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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.