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Finding the Fourth Proportional to 9,790.10, 13,512.53 and 6,013.34

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Solution

The fourth proportional to 9,790.10, 13,512.53 and 6,013.34 is: 8,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.10 : 13,512.53 = 6,013.34 : x
  2. Step 2: Convert to fraction form
    9,790.10/13,512.53 = 6,013.34/x
  3. Step 3: Cross multiply
    9,790.10x = 13,512.53 × 6,013.34
  4. Step 4: Simplify right side
    9,790.10x = 81,255,407.08
  5. Step 5: Solve for x
    x = 81,255,407.08/9,790.10
  6. Step 6: Final answer
    x = 8,299.75

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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.