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Finding the Fourth Proportional to 9,503.08, 14,260.02 and 5,120.44

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Solution

The fourth proportional to 9,503.08, 14,260.02 and 5,120.44 is: 7,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.08 : 14,260.02 = 5,120.44 : x
  2. Step 2: Convert to fraction form
    9,503.08/14,260.02 = 5,120.44/x
  3. Step 3: Cross multiply
    9,503.08x = 14,260.02 × 5,120.44
  4. Step 4: Simplify right side
    9,503.08x = 73,017,576.81
  5. Step 5: Solve for x
    x = 73,017,576.81/9,503.08
  6. Step 6: Final answer
    x = 7,683.57

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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.