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Finding the Fourth Proportional to 12,346.72, 17,037.82 and 6,756.64

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Solution

The fourth proportional to 12,346.72, 17,037.82 and 6,756.64 is: 9,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.72 : 17,037.82 = 6,756.64 : x
  2. Step 2: Convert to fraction form
    12,346.72/17,037.82 = 6,756.64/x
  3. Step 3: Cross multiply
    12,346.72x = 17,037.82 × 6,756.64
  4. Step 4: Simplify right side
    12,346.72x = 115,118,416.12
  5. Step 5: Solve for x
    x = 115,118,416.12/12,346.72
  6. Step 6: Final answer
    x = 9,323.81

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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.