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Finding the Fourth Proportional to 9,548.38, 14,322.52 and 5,193.52

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Solution

The fourth proportional to 9,548.38, 14,322.52 and 5,193.52 is: 7,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.38 : 14,322.52 = 5,193.52 : x
  2. Step 2: Convert to fraction form
    9,548.38/14,322.52 = 5,193.52/x
  3. Step 3: Cross multiply
    9,548.38x = 14,322.52 × 5,193.52
  4. Step 4: Simplify right side
    9,548.38x = 74,384,264.76
  5. Step 5: Solve for x
    x = 74,384,264.76/9,548.38
  6. Step 6: Final answer
    x = 7,790.25

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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.