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Finding the Fourth Proportional to 9,812.94, 13,537.52 and 6,539.44

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Solution

The fourth proportional to 9,812.94, 13,537.52 and 6,539.44 is: 9,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.94 : 13,537.52 = 6,539.44 : x
  2. Step 2: Convert to fraction form
    9,812.94/13,537.52 = 6,539.44/x
  3. Step 3: Cross multiply
    9,812.94x = 13,537.52 × 6,539.44
  4. Step 4: Simplify right side
    9,812.94x = 88,527,733.25
  5. Step 5: Solve for x
    x = 88,527,733.25/9,812.94
  6. Step 6: Final answer
    x = 9,021.53

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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.