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Finding the Fourth Proportional to 9,291.80, 12,822.55 and 5,755.88

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Solution

The fourth proportional to 9,291.80, 12,822.55 and 5,755.88 is: 7,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.80 : 12,822.55 = 5,755.88 : x
  2. Step 2: Convert to fraction form
    9,291.80/12,822.55 = 5,755.88/x
  3. Step 3: Cross multiply
    9,291.80x = 12,822.55 × 5,755.88
  4. Step 4: Simplify right side
    9,291.80x = 73,804,980.59
  5. Step 5: Solve for x
    x = 73,804,980.59/9,291.80
  6. Step 6: Final answer
    x = 7,943.03

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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.