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Finding the Fourth Proportional to 9,952.35, 13,736.20 and 5,706.26

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Solution

The fourth proportional to 9,952.35, 13,736.20 and 5,706.26 is: 7,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.35 : 13,736.20 = 5,706.26 : x
  2. Step 2: Convert to fraction form
    9,952.35/13,736.20 = 5,706.26/x
  3. Step 3: Cross multiply
    9,952.35x = 13,736.20 × 5,706.26
  4. Step 4: Simplify right side
    9,952.35x = 78,382,328.61
  5. Step 5: Solve for x
    x = 78,382,328.61/9,952.35
  6. Step 6: Final answer
    x = 7,875.76

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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.