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Finding the Fourth Proportional to 9,657.36, 14,485.68 and 2,731.68

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Solution

The fourth proportional to 9,657.36, 14,485.68 and 2,731.68 is: 4,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.36 : 14,485.68 = 2,731.68 : x
  2. Step 2: Convert to fraction form
    9,657.36/14,485.68 = 2,731.68/x
  3. Step 3: Cross multiply
    9,657.36x = 14,485.68 × 2,731.68
  4. Step 4: Simplify right side
    9,657.36x = 39,570,242.34
  5. Step 5: Solve for x
    x = 39,570,242.34/9,657.36
  6. Step 6: Final answer
    x = 4,097.42

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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.