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Finding the Fourth Proportional to 9,305.96, 12,804.18 and 8,043

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Solution

The fourth proportional to 9,305.96, 12,804.18 and 8,043 is: 11,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.96 : 12,804.18 = 8,043 : x
  2. Step 2: Convert to fraction form
    9,305.96/12,804.18 = 8,043/x
  3. Step 3: Cross multiply
    9,305.96x = 12,804.18 × 8,043
  4. Step 4: Simplify right side
    9,305.96x = 102,984,019.74
  5. Step 5: Solve for x
    x = 102,984,019.74/9,305.96
  6. Step 6: Final answer
    x = 11,066.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.