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Finding the Fourth Proportional to 9,262.88, 13,897.25 and 3,335.71

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Solution

The fourth proportional to 9,262.88, 13,897.25 and 3,335.71 is: 5,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.88 : 13,897.25 = 3,335.71 : x
  2. Step 2: Convert to fraction form
    9,262.88/13,897.25 = 3,335.71/x
  3. Step 3: Cross multiply
    9,262.88x = 13,897.25 × 3,335.71
  4. Step 4: Simplify right side
    9,262.88x = 46,357,195.80
  5. Step 5: Solve for x
    x = 46,357,195.80/9,262.88
  6. Step 6: Final answer
    x = 5,004.62

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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.