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Finding the Fourth Proportional to 9,135.14, 13,706.88 and 4,968.90

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Solution

The fourth proportional to 9,135.14, 13,706.88 and 4,968.90 is: 7,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.14 : 13,706.88 = 4,968.90 : x
  2. Step 2: Convert to fraction form
    9,135.14/13,706.88 = 4,968.90/x
  3. Step 3: Cross multiply
    9,135.14x = 13,706.88 × 4,968.90
  4. Step 4: Simplify right side
    9,135.14x = 68,108,116.03
  5. Step 5: Solve for x
    x = 68,108,116.03/9,135.14
  6. Step 6: Final answer
    x = 7,455.62

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Why These Related Problems?

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