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Finding the Fourth Proportional to 9,706.35, 13,386.92 and 6,518.69

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Solution

The fourth proportional to 9,706.35, 13,386.92 and 6,518.69 is: 8,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.35 : 13,386.92 = 6,518.69 : x
  2. Step 2: Convert to fraction form
    9,706.35/13,386.92 = 6,518.69/x
  3. Step 3: Cross multiply
    9,706.35x = 13,386.92 × 6,518.69
  4. Step 4: Simplify right side
    9,706.35x = 87,265,082.01
  5. Step 5: Solve for x
    x = 87,265,082.01/9,706.35
  6. Step 6: Final answer
    x = 8,990.51

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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.