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Finding the Fourth Proportional to 34,640.58, 51,955.65 and 9,678

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Solution

The fourth proportional to 34,640.58, 51,955.65 and 9,678 is: 14,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640.58 : 51,955.65 = 9,678 : x
  2. Step 2: Convert to fraction form
    34,640.58/51,955.65 = 9,678/x
  3. Step 3: Cross multiply
    34,640.58x = 51,955.65 × 9,678
  4. Step 4: Simplify right side
    34,640.58x = 502,826,780.70
  5. Step 5: Solve for x
    x = 502,826,780.70/34,640.58
  6. Step 6: Final answer
    x = 14,515.54

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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.