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Finding the Fourth Proportional to 12,289.32, 16,959.06 and 6,984.36

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Solution

The fourth proportional to 12,289.32, 16,959.06 and 6,984.36 is: 9,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.32 : 16,959.06 = 6,984.36 : x
  2. Step 2: Convert to fraction form
    12,289.32/16,959.06 = 6,984.36/x
  3. Step 3: Cross multiply
    12,289.32x = 16,959.06 × 6,984.36
  4. Step 4: Simplify right side
    12,289.32x = 118,448,180.30
  5. Step 5: Solve for x
    x = 118,448,180.30/12,289.32
  6. Step 6: Final answer
    x = 9,638.30

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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.