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Finding the Fourth Proportional to 9,502.19, 13,113.81 and 6,309.84

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Solution

The fourth proportional to 9,502.19, 13,113.81 and 6,309.84 is: 8,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.19 : 13,113.81 = 6,309.84 : x
  2. Step 2: Convert to fraction form
    9,502.19/13,113.81 = 6,309.84/x
  3. Step 3: Cross multiply
    9,502.19x = 13,113.81 × 6,309.84
  4. Step 4: Simplify right side
    9,502.19x = 82,746,042.89
  5. Step 5: Solve for x
    x = 82,746,042.89/9,502.19
  6. Step 6: Final answer
    x = 8,708.11

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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.