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Finding the Fourth Proportional to 9,513, 14,269.23 and 2,938.23

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Solution

The fourth proportional to 9,513, 14,269.23 and 2,938.23 is: 4,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513 : 14,269.23 = 2,938.23 : x
  2. Step 2: Convert to fraction form
    9,513/14,269.23 = 2,938.23/x
  3. Step 3: Cross multiply
    9,513x = 14,269.23 × 2,938.23
  4. Step 4: Simplify right side
    9,513x = 41,926,279.66
  5. Step 5: Solve for x
    x = 41,926,279.66/9,513
  6. Step 6: Final answer
    x = 4,407.26

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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.