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Finding the Fourth Proportional to 9,305.04, 12,840.48 and 5,112.48

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Solution

The fourth proportional to 9,305.04, 12,840.48 and 5,112.48 is: 7,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.04 : 12,840.48 = 5,112.48 : x
  2. Step 2: Convert to fraction form
    9,305.04/12,840.48 = 5,112.48/x
  3. Step 3: Cross multiply
    9,305.04x = 12,840.48 × 5,112.48
  4. Step 4: Simplify right side
    9,305.04x = 65,646,697.19
  5. Step 5: Solve for x
    x = 65,646,697.19/9,305.04
  6. Step 6: Final answer
    x = 7,054.96

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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.