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Finding the Fourth Proportional to 9,758.26, 14,645.60 and 9,143.17

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Solution

The fourth proportional to 9,758.26, 14,645.60 and 9,143.17 is: 13,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.26 : 14,645.60 = 9,143.17 : x
  2. Step 2: Convert to fraction form
    9,758.26/14,645.60 = 9,143.17/x
  3. Step 3: Cross multiply
    9,758.26x = 14,645.60 × 9,143.17
  4. Step 4: Simplify right side
    9,758.26x = 133,907,210.55
  5. Step 5: Solve for x
    x = 133,907,210.55/9,758.26
  6. Step 6: Final answer
    x = 13,722.45

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