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Finding the Fourth Proportional to 9,047.95, 12,481.16 and 5,689.54

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Solution

The fourth proportional to 9,047.95, 12,481.16 and 5,689.54 is: 7,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.95 : 12,481.16 = 5,689.54 : x
  2. Step 2: Convert to fraction form
    9,047.95/12,481.16 = 5,689.54/x
  3. Step 3: Cross multiply
    9,047.95x = 12,481.16 × 5,689.54
  4. Step 4: Simplify right side
    9,047.95x = 71,012,094.23
  5. Step 5: Solve for x
    x = 71,012,094.23/9,047.95
  6. Step 6: Final answer
    x = 7,848.42

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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.