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Finding the Fourth Proportional to 10,263.86, 15,365.81 and 9,278.96

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Solution

The fourth proportional to 10,263.86, 15,365.81 and 9,278.96 is: 13,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.86 : 15,365.81 = 9,278.96 : x
  2. Step 2: Convert to fraction form
    10,263.86/15,365.81 = 9,278.96/x
  3. Step 3: Cross multiply
    10,263.86x = 15,365.81 × 9,278.96
  4. Step 4: Simplify right side
    10,263.86x = 142,578,656.63
  5. Step 5: Solve for x
    x = 142,578,656.63/10,263.86
  6. Step 6: Final answer
    x = 13,891.32

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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.