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Finding the Fourth Proportional to 9,098.88, 13,648.71 and 3,176.37

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Solution

The fourth proportional to 9,098.88, 13,648.71 and 3,176.37 is: 4,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.88 : 13,648.71 = 3,176.37 : x
  2. Step 2: Convert to fraction form
    9,098.88/13,648.71 = 3,176.37/x
  3. Step 3: Cross multiply
    9,098.88x = 13,648.71 × 3,176.37
  4. Step 4: Simplify right side
    9,098.88x = 43,353,352.98
  5. Step 5: Solve for x
    x = 43,353,352.98/9,098.88
  6. Step 6: Final answer
    x = 4,764.69

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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.