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Finding the Fourth Proportional to 10,238.61, 15,278.07 and 9,135.39

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Solution

The fourth proportional to 10,238.61, 15,278.07 and 9,135.39 is: 13,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.61 : 15,278.07 = 9,135.39 : x
  2. Step 2: Convert to fraction form
    10,238.61/15,278.07 = 9,135.39/x
  3. Step 3: Cross multiply
    10,238.61x = 15,278.07 × 9,135.39
  4. Step 4: Simplify right side
    10,238.61x = 139,571,127.90
  5. Step 5: Solve for x
    x = 139,571,127.90/10,238.61
  6. Step 6: Final answer
    x = 13,631.84

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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.