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Finding the Fourth Proportional to 9,709.60, 14,563.44 and 3,864.64

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Solution

The fourth proportional to 9,709.60, 14,563.44 and 3,864.64 is: 5,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.60 : 14,563.44 = 3,864.64 : x
  2. Step 2: Convert to fraction form
    9,709.60/14,563.44 = 3,864.64/x
  3. Step 3: Cross multiply
    9,709.60x = 14,563.44 × 3,864.64
  4. Step 4: Simplify right side
    9,709.60x = 56,282,452.76
  5. Step 5: Solve for x
    x = 56,282,452.76/9,709.60
  6. Step 6: Final answer
    x = 5,796.58

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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.