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Finding the Fourth Proportional to 9,745.98, 14,581.54 and 5,587.98

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Solution

The fourth proportional to 9,745.98, 14,581.54 and 5,587.98 is: 8,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.98 : 14,581.54 = 5,587.98 : x
  2. Step 2: Convert to fraction form
    9,745.98/14,581.54 = 5,587.98/x
  3. Step 3: Cross multiply
    9,745.98x = 14,581.54 × 5,587.98
  4. Step 4: Simplify right side
    9,745.98x = 81,481,353.89
  5. Step 5: Solve for x
    x = 81,481,353.89/9,745.98
  6. Step 6: Final answer
    x = 8,360.51

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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.