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Finding the Fourth Proportional to 35,084.34, 52,626.54 and 9,782.85

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Solution

The fourth proportional to 35,084.34, 52,626.54 and 9,782.85 is: 14,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,084.34 : 52,626.54 = 9,782.85 : x
  2. Step 2: Convert to fraction form
    35,084.34/52,626.54 = 9,782.85/x
  3. Step 3: Cross multiply
    35,084.34x = 52,626.54 × 9,782.85
  4. Step 4: Simplify right side
    35,084.34x = 514,837,546.84
  5. Step 5: Solve for x
    x = 514,837,546.84/35,084.34
  6. Step 6: Final answer
    x = 14,674.28

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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.