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Finding the Fourth Proportional to 12,297.60, 16,969.28 and 6,991.36

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Solution

The fourth proportional to 12,297.60, 16,969.28 and 6,991.36 is: 9,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.60 : 16,969.28 = 6,991.36 : x
  2. Step 2: Convert to fraction form
    12,297.60/16,969.28 = 6,991.36/x
  3. Step 3: Cross multiply
    12,297.60x = 16,969.28 × 6,991.36
  4. Step 4: Simplify right side
    12,297.60x = 118,638,345.42
  5. Step 5: Solve for x
    x = 118,638,345.42/12,297.60
  6. Step 6: Final answer
    x = 9,647.28

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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.