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Finding the Fourth Proportional to 12,564.60, 17,338.98 and 6,975.56

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Solution

The fourth proportional to 12,564.60, 17,338.98 and 6,975.56 is: 9,626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.60 : 17,338.98 = 6,975.56 : x
  2. Step 2: Convert to fraction form
    12,564.60/17,338.98 = 6,975.56/x
  3. Step 3: Cross multiply
    12,564.60x = 17,338.98 × 6,975.56
  4. Step 4: Simplify right side
    12,564.60x = 120,949,095.33
  5. Step 5: Solve for x
    x = 120,949,095.33/12,564.60
  6. Step 6: Final answer
    x = 9,626.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.