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Finding the Fourth Proportional to 9,899.33, 14,845.82 and 5,216.72

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Solution

The fourth proportional to 9,899.33, 14,845.82 and 5,216.72 is: 7,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.33 : 14,845.82 = 5,216.72 : x
  2. Step 2: Convert to fraction form
    9,899.33/14,845.82 = 5,216.72/x
  3. Step 3: Cross multiply
    9,899.33x = 14,845.82 × 5,216.72
  4. Step 4: Simplify right side
    9,899.33x = 77,446,385.80
  5. Step 5: Solve for x
    x = 77,446,385.80/9,899.33
  6. Step 6: Final answer
    x = 7,823.40

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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.