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Finding the Fourth Proportional to 9,751.34, 14,626.40 and 2,825.84

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Solution

The fourth proportional to 9,751.34, 14,626.40 and 2,825.84 is: 4,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.34 : 14,626.40 = 2,825.84 : x
  2. Step 2: Convert to fraction form
    9,751.34/14,626.40 = 2,825.84/x
  3. Step 3: Cross multiply
    9,751.34x = 14,626.40 × 2,825.84
  4. Step 4: Simplify right side
    9,751.34x = 41,331,888.61
  5. Step 5: Solve for x
    x = 41,331,888.61/9,751.34
  6. Step 6: Final answer
    x = 4,238.58

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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.