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Finding the Fourth Proportional to 12,383.47, 17,088.88 and 6,932.46

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Solution

The fourth proportional to 12,383.47, 17,088.88 and 6,932.46 is: 9,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.47 : 17,088.88 = 6,932.46 : x
  2. Step 2: Convert to fraction form
    12,383.47/17,088.88 = 6,932.46/x
  3. Step 3: Cross multiply
    12,383.47x = 17,088.88 × 6,932.46
  4. Step 4: Simplify right side
    12,383.47x = 118,467,977.04
  5. Step 5: Solve for x
    x = 118,467,977.04/12,383.47
  6. Step 6: Final answer
    x = 9,566.62

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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.