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Finding the Fourth Proportional to 9,488.72, 13,093.44 and 5,509.05

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Solution

The fourth proportional to 9,488.72, 13,093.44 and 5,509.05 is: 7,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.72 : 13,093.44 = 5,509.05 : x
  2. Step 2: Convert to fraction form
    9,488.72/13,093.44 = 5,509.05/x
  3. Step 3: Cross multiply
    9,488.72x = 13,093.44 × 5,509.05
  4. Step 4: Simplify right side
    9,488.72x = 72,132,420.82
  5. Step 5: Solve for x
    x = 72,132,420.82/9,488.72
  6. Step 6: Final answer
    x = 7,601.91

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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.