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Finding the Fourth Proportional to 9,843.81, 14,765.93 and 3,603.98

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Solution

The fourth proportional to 9,843.81, 14,765.93 and 3,603.98 is: 5,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.81 : 14,765.93 = 3,603.98 : x
  2. Step 2: Convert to fraction form
    9,843.81/14,765.93 = 3,603.98/x
  3. Step 3: Cross multiply
    9,843.81x = 14,765.93 × 3,603.98
  4. Step 4: Simplify right side
    9,843.81x = 53,216,024.55
  5. Step 5: Solve for x
    x = 53,216,024.55/9,843.81
  6. Step 6: Final answer
    x = 5,406.04

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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.