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Finding the Fourth Proportional to 10,135.95, 15,236.62 and 9,398.98

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Solution

The fourth proportional to 10,135.95, 15,236.62 and 9,398.98 is: 14,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.95 : 15,236.62 = 9,398.98 : x
  2. Step 2: Convert to fraction form
    10,135.95/15,236.62 = 9,398.98/x
  3. Step 3: Cross multiply
    10,135.95x = 15,236.62 × 9,398.98
  4. Step 4: Simplify right side
    10,135.95x = 143,208,563.47
  5. Step 5: Solve for x
    x = 143,208,563.47/10,135.95
  6. Step 6: Final answer
    x = 14,128.78

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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.