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Finding the Fourth Proportional to 9,734.52, 14,605.74 and 4,537.20

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Solution

The fourth proportional to 9,734.52, 14,605.74 and 4,537.20 is: 6,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.52 : 14,605.74 = 4,537.20 : x
  2. Step 2: Convert to fraction form
    9,734.52/14,605.74 = 4,537.20/x
  3. Step 3: Cross multiply
    9,734.52x = 14,605.74 × 4,537.20
  4. Step 4: Simplify right side
    9,734.52x = 66,269,163.53
  5. Step 5: Solve for x
    x = 66,269,163.53/9,734.52
  6. Step 6: Final answer
    x = 6,807.65

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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.