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Finding the Fourth Proportional to 9,034.82, 13,542.34 and 4,652.54

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Solution

The fourth proportional to 9,034.82, 13,542.34 and 4,652.54 is: 6,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.82 : 13,542.34 = 4,652.54 : x
  2. Step 2: Convert to fraction form
    9,034.82/13,542.34 = 4,652.54/x
  3. Step 3: Cross multiply
    9,034.82x = 13,542.34 × 4,652.54
  4. Step 4: Simplify right side
    9,034.82x = 63,006,278.54
  5. Step 5: Solve for x
    x = 63,006,278.54/9,034.82
  6. Step 6: Final answer
    x = 6,973.72

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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.