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Finding the Fourth Proportional to 9,509.85, 14,261.13 and 5,559.48

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Solution

The fourth proportional to 9,509.85, 14,261.13 and 5,559.48 is: 8,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.85 : 14,261.13 = 5,559.48 : x
  2. Step 2: Convert to fraction form
    9,509.85/14,261.13 = 5,559.48/x
  3. Step 3: Cross multiply
    9,509.85x = 14,261.13 × 5,559.48
  4. Step 4: Simplify right side
    9,509.85x = 79,284,467.01
  5. Step 5: Solve for x
    x = 79,284,467.01/9,509.85
  6. Step 6: Final answer
    x = 8,337.09

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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.