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Finding the Fourth Proportional to 9,881.82, 14,833.17 and 9,658.72

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Solution

The fourth proportional to 9,881.82, 14,833.17 and 9,658.72 is: 14,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.82 : 14,833.17 = 9,658.72 : x
  2. Step 2: Convert to fraction form
    9,881.82/14,833.17 = 9,658.72/x
  3. Step 3: Cross multiply
    9,881.82x = 14,833.17 × 9,658.72
  4. Step 4: Simplify right side
    9,881.82x = 143,269,435.74
  5. Step 5: Solve for x
    x = 143,269,435.74/9,881.82
  6. Step 6: Final answer
    x = 14,498.28

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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.