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Finding the Fourth Proportional to 9,291.70, 12,823.68 and 5,754.43

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Solution

The fourth proportional to 9,291.70, 12,823.68 and 5,754.43 is: 7,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.70 : 12,823.68 = 5,754.43 : x
  2. Step 2: Convert to fraction form
    9,291.70/12,823.68 = 5,754.43/x
  3. Step 3: Cross multiply
    9,291.70x = 12,823.68 × 5,754.43
  4. Step 4: Simplify right side
    9,291.70x = 73,792,968.90
  5. Step 5: Solve for x
    x = 73,792,968.90/9,291.70
  6. Step 6: Final answer
    x = 7,941.82

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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.