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Finding the Fourth Proportional to 9,828.48, 14,752.44 and 4,638

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Solution

The fourth proportional to 9,828.48, 14,752.44 and 4,638 is: 6,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.48 : 14,752.44 = 4,638 : x
  2. Step 2: Convert to fraction form
    9,828.48/14,752.44 = 4,638/x
  3. Step 3: Cross multiply
    9,828.48x = 14,752.44 × 4,638
  4. Step 4: Simplify right side
    9,828.48x = 68,421,816.72
  5. Step 5: Solve for x
    x = 68,421,816.72/9,828.48
  6. Step 6: Final answer
    x = 6,961.59

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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.