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Finding the Fourth Proportional to 9,840.89, 13,578.54 and 5,808.98

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Solution

The fourth proportional to 9,840.89, 13,578.54 and 5,808.98 is: 8,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.89 : 13,578.54 = 5,808.98 : x
  2. Step 2: Convert to fraction form
    9,840.89/13,578.54 = 5,808.98/x
  3. Step 3: Cross multiply
    9,840.89x = 13,578.54 × 5,808.98
  4. Step 4: Simplify right side
    9,840.89x = 78,877,467.29
  5. Step 5: Solve for x
    x = 78,877,467.29/9,840.89
  6. Step 6: Final answer
    x = 8,015.28

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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.