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Finding the Fourth Proportional to 9,309.93, 13,970.79 and 8,434.19

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Solution

The fourth proportional to 9,309.93, 13,970.79 and 8,434.19 is: 12,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.93 : 13,970.79 = 8,434.19 : x
  2. Step 2: Convert to fraction form
    9,309.93/13,970.79 = 8,434.19/x
  3. Step 3: Cross multiply
    9,309.93x = 13,970.79 × 8,434.19
  4. Step 4: Simplify right side
    9,309.93x = 117,832,297.31
  5. Step 5: Solve for x
    x = 117,832,297.31/9,309.93
  6. Step 6: Final answer
    x = 12,656.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.