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Finding the Fourth Proportional to 10,301.72, 15,365.98 and 9,355.73

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Solution

The fourth proportional to 10,301.72, 15,365.98 and 9,355.73 is: 13,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.72 : 15,365.98 = 9,355.73 : x
  2. Step 2: Convert to fraction form
    10,301.72/15,365.98 = 9,355.73/x
  3. Step 3: Cross multiply
    10,301.72x = 15,365.98 × 9,355.73
  4. Step 4: Simplify right side
    10,301.72x = 143,759,960.07
  5. Step 5: Solve for x
    x = 143,759,960.07/10,301.72
  6. Step 6: Final answer
    x = 13,954.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.