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Finding the Fourth Proportional to 9,301.34, 13,952.04 and 2,281.39

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Solution

The fourth proportional to 9,301.34, 13,952.04 and 2,281.39 is: 3,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.34 : 13,952.04 = 2,281.39 : x
  2. Step 2: Convert to fraction form
    9,301.34/13,952.04 = 2,281.39/x
  3. Step 3: Cross multiply
    9,301.34x = 13,952.04 × 2,281.39
  4. Step 4: Simplify right side
    9,301.34x = 31,830,044.54
  5. Step 5: Solve for x
    x = 31,830,044.54/9,301.34
  6. Step 6: Final answer
    x = 3,422.09

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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.