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Finding the Fourth Proportional to 9,485.80, 14,228.94 and 2,560.24

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Solution

The fourth proportional to 9,485.80, 14,228.94 and 2,560.24 is: 3,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.80 : 14,228.94 = 2,560.24 : x
  2. Step 2: Convert to fraction form
    9,485.80/14,228.94 = 2,560.24/x
  3. Step 3: Cross multiply
    9,485.80x = 14,228.94 × 2,560.24
  4. Step 4: Simplify right side
    9,485.80x = 36,429,501.35
  5. Step 5: Solve for x
    x = 36,429,501.35/9,485.80
  6. Step 6: Final answer
    x = 3,840.42

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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.