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Finding the Fourth Proportional to 9,973.81, 14,965.26 and 3,734.30

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Solution

The fourth proportional to 9,973.81, 14,965.26 and 3,734.30 is: 5,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.81 : 14,965.26 = 3,734.30 : x
  2. Step 2: Convert to fraction form
    9,973.81/14,965.26 = 3,734.30/x
  3. Step 3: Cross multiply
    9,973.81x = 14,965.26 × 3,734.30
  4. Step 4: Simplify right side
    9,973.81x = 55,884,793.83
  5. Step 5: Solve for x
    x = 55,884,793.83/9,973.81
  6. Step 6: Final answer
    x = 5,603.15

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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.