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Finding the Fourth Proportional to 9,485.64, 14,226.80 and 2,558.52

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Solution

The fourth proportional to 9,485.64, 14,226.80 and 2,558.52 is: 3,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.64 : 14,226.80 = 2,558.52 : x
  2. Step 2: Convert to fraction form
    9,485.64/14,226.80 = 2,558.52/x
  3. Step 3: Cross multiply
    9,485.64x = 14,226.80 × 2,558.52
  4. Step 4: Simplify right side
    9,485.64x = 36,399,552.34
  5. Step 5: Solve for x
    x = 36,399,552.34/9,485.64
  6. Step 6: Final answer
    x = 3,837.33

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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.