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Finding the Fourth Proportional to 9,828.42, 13,563.05 and 5,352.09

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Solution

The fourth proportional to 9,828.42, 13,563.05 and 5,352.09 is: 7,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.42 : 13,563.05 = 5,352.09 : x
  2. Step 2: Convert to fraction form
    9,828.42/13,563.05 = 5,352.09/x
  3. Step 3: Cross multiply
    9,828.42x = 13,563.05 × 5,352.09
  4. Step 4: Simplify right side
    9,828.42x = 72,590,637.51
  5. Step 5: Solve for x
    x = 72,590,637.51/9,828.42
  6. Step 6: Final answer
    x = 7,385.79

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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.