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Finding the Fourth Proportional to 9,656.58, 14,485.92 and 3,081.24

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Solution

The fourth proportional to 9,656.58, 14,485.92 and 3,081.24 is: 4,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.58 : 14,485.92 = 3,081.24 : x
  2. Step 2: Convert to fraction form
    9,656.58/14,485.92 = 3,081.24/x
  3. Step 3: Cross multiply
    9,656.58x = 14,485.92 × 3,081.24
  4. Step 4: Simplify right side
    9,656.58x = 44,634,596.14
  5. Step 5: Solve for x
    x = 44,634,596.14/9,656.58
  6. Step 6: Final answer
    x = 4,622.20

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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.