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Finding the Fourth Proportional to 11,969.32, 17,957.64 and 6,130.06

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Solution

The fourth proportional to 11,969.32, 17,957.64 and 6,130.06 is: 9,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.32 : 17,957.64 = 6,130.06 : x
  2. Step 2: Convert to fraction form
    11,969.32/17,957.64 = 6,130.06/x
  3. Step 3: Cross multiply
    11,969.32x = 17,957.64 × 6,130.06
  4. Step 4: Simplify right side
    11,969.32x = 110,081,410.66
  5. Step 5: Solve for x
    x = 110,081,410.66/11,969.32
  6. Step 6: Final answer
    x = 9,196.96

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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.