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Finding the Fourth Proportional to 9,509.60, 14,266.82 and 3,664.64

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Solution

The fourth proportional to 9,509.60, 14,266.82 and 3,664.64 is: 5,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.60 : 14,266.82 = 3,664.64 : x
  2. Step 2: Convert to fraction form
    9,509.60/14,266.82 = 3,664.64/x
  3. Step 3: Cross multiply
    9,509.60x = 14,266.82 × 3,664.64
  4. Step 4: Simplify right side
    9,509.60x = 52,282,759.24
  5. Step 5: Solve for x
    x = 52,282,759.24/9,509.60
  6. Step 6: Final answer
    x = 5,497.89

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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.