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Finding the Fourth Proportional to 9,083.54, 12,534 and 5,104.46

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Solution

The fourth proportional to 9,083.54, 12,534 and 5,104.46 is: 7,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.54 : 12,534 = 5,104.46 : x
  2. Step 2: Convert to fraction form
    9,083.54/12,534 = 5,104.46/x
  3. Step 3: Cross multiply
    9,083.54x = 12,534 × 5,104.46
  4. Step 4: Simplify right side
    9,083.54x = 63,979,301.64
  5. Step 5: Solve for x
    x = 63,979,301.64/9,083.54
  6. Step 6: Final answer
    x = 7,043.43

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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.