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Finding the Fourth Proportional to 9,683.24, 14,526.90 and 3,444.20

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Solution

The fourth proportional to 9,683.24, 14,526.90 and 3,444.20 is: 5,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.24 : 14,526.90 = 3,444.20 : x
  2. Step 2: Convert to fraction form
    9,683.24/14,526.90 = 3,444.20/x
  3. Step 3: Cross multiply
    9,683.24x = 14,526.90 × 3,444.20
  4. Step 4: Simplify right side
    9,683.24x = 50,033,548.98
  5. Step 5: Solve for x
    x = 50,033,548.98/9,683.24
  6. Step 6: Final answer
    x = 5,167.03

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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.