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Finding the Fourth Proportional to 31,383.74, 47,075.60 and 9,197.11

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Solution

The fourth proportional to 31,383.74, 47,075.60 and 9,197.11 is: 13,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.74 : 47,075.60 = 9,197.11 : x
  2. Step 2: Convert to fraction form
    31,383.74/47,075.60 = 9,197.11/x
  3. Step 3: Cross multiply
    31,383.74x = 47,075.60 × 9,197.11
  4. Step 4: Simplify right side
    31,383.74x = 432,959,376.82
  5. Step 5: Solve for x
    x = 432,959,376.82/31,383.74
  6. Step 6: Final answer
    x = 13,795.66

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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.