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Finding the Fourth Proportional to 9,534.54, 14,303.70 and 3,691.20

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Solution

The fourth proportional to 9,534.54, 14,303.70 and 3,691.20 is: 5,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.54 : 14,303.70 = 3,691.20 : x
  2. Step 2: Convert to fraction form
    9,534.54/14,303.70 = 3,691.20/x
  3. Step 3: Cross multiply
    9,534.54x = 14,303.70 × 3,691.20
  4. Step 4: Simplify right side
    9,534.54x = 52,797,817.44
  5. Step 5: Solve for x
    x = 52,797,817.44/9,534.54
  6. Step 6: Final answer
    x = 5,537.53

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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.