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Finding the Fourth Proportional to 9,305.20, 12,840.60 and 8,562.16

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Solution

The fourth proportional to 9,305.20, 12,840.60 and 8,562.16 is: 11,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.20 : 12,840.60 = 8,562.16 : x
  2. Step 2: Convert to fraction form
    9,305.20/12,840.60 = 8,562.16/x
  3. Step 3: Cross multiply
    9,305.20x = 12,840.60 × 8,562.16
  4. Step 4: Simplify right side
    9,305.20x = 109,943,271.70
  5. Step 5: Solve for x
    x = 109,943,271.70/9,305.20
  6. Step 6: Final answer
    x = 11,815.25

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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.