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Finding the Fourth Proportional to 9,899.29, 13,657.21 and 5,650.59

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Solution

The fourth proportional to 9,899.29, 13,657.21 and 5,650.59 is: 7,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.29 : 13,657.21 = 5,650.59 : x
  2. Step 2: Convert to fraction form
    9,899.29/13,657.21 = 5,650.59/x
  3. Step 3: Cross multiply
    9,899.29x = 13,657.21 × 5,650.59
  4. Step 4: Simplify right side
    9,899.29x = 77,171,294.25
  5. Step 5: Solve for x
    x = 77,171,294.25/9,899.29
  6. Step 6: Final answer
    x = 7,795.64

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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.