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Finding the Fourth Proportional to 35,601.26, 53,402.40 and 9,306

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Solution

The fourth proportional to 35,601.26, 53,402.40 and 9,306 is: 13,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,601.26 : 53,402.40 = 9,306 : x
  2. Step 2: Convert to fraction form
    35,601.26/53,402.40 = 9,306/x
  3. Step 3: Cross multiply
    35,601.26x = 53,402.40 × 9,306
  4. Step 4: Simplify right side
    35,601.26x = 496,962,734.40
  5. Step 5: Solve for x
    x = 496,962,734.40/35,601.26
  6. Step 6: Final answer
    x = 13,959.14

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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.