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Finding the Fourth Proportional to 9,563.51, 13,195.43 and 5,530.32

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Solution

The fourth proportional to 9,563.51, 13,195.43 and 5,530.32 is: 7,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.51 : 13,195.43 = 5,530.32 : x
  2. Step 2: Convert to fraction form
    9,563.51/13,195.43 = 5,530.32/x
  3. Step 3: Cross multiply
    9,563.51x = 13,195.43 × 5,530.32
  4. Step 4: Simplify right side
    9,563.51x = 72,974,950.44
  5. Step 5: Solve for x
    x = 72,974,950.44/9,563.51
  6. Step 6: Final answer
    x = 7,630.56

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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.