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Finding the Fourth Proportional to 9,513.46, 14,271.97 and 2,938.10

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Solution

The fourth proportional to 9,513.46, 14,271.97 and 2,938.10 is: 4,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.46 : 14,271.97 = 2,938.10 : x
  2. Step 2: Convert to fraction form
    9,513.46/14,271.97 = 2,938.10/x
  3. Step 3: Cross multiply
    9,513.46x = 14,271.97 × 2,938.10
  4. Step 4: Simplify right side
    9,513.46x = 41,932,475.06
  5. Step 5: Solve for x
    x = 41,932,475.06/9,513.46
  6. Step 6: Final answer
    x = 4,407.70

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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.