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Finding the Fourth Proportional to 9,706.62, 13,484.96 and 9,615.36

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Solution

The fourth proportional to 9,706.62, 13,484.96 and 9,615.36 is: 13,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.62 : 13,484.96 = 9,615.36 : x
  2. Step 2: Convert to fraction form
    9,706.62/13,484.96 = 9,615.36/x
  3. Step 3: Cross multiply
    9,706.62x = 13,484.96 × 9,615.36
  4. Step 4: Simplify right side
    9,706.62x = 129,662,744.99
  5. Step 5: Solve for x
    x = 129,662,744.99/9,706.62
  6. Step 6: Final answer
    x = 13,358.18

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.