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Finding the Fourth Proportional to 13,977.32, 19,278.94 and 9,493.28

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Solution

The fourth proportional to 13,977.32, 19,278.94 and 9,493.28 is: 13,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.32 : 19,278.94 = 9,493.28 : x
  2. Step 2: Convert to fraction form
    13,977.32/19,278.94 = 9,493.28/x
  3. Step 3: Cross multiply
    13,977.32x = 19,278.94 × 9,493.28
  4. Step 4: Simplify right side
    13,977.32x = 183,020,375.52
  5. Step 5: Solve for x
    x = 183,020,375.52/13,977.32
  6. Step 6: Final answer
    x = 13,094.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.