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Finding the Fourth Proportional to 9,357.61, 12,912.95 and 5,107.82

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Solution

The fourth proportional to 9,357.61, 12,912.95 and 5,107.82 is: 7,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.61 : 12,912.95 = 5,107.82 : x
  2. Step 2: Convert to fraction form
    9,357.61/12,912.95 = 5,107.82/x
  3. Step 3: Cross multiply
    9,357.61x = 12,912.95 × 5,107.82
  4. Step 4: Simplify right side
    9,357.61x = 65,957,031.01
  5. Step 5: Solve for x
    x = 65,957,031.01/9,357.61
  6. Step 6: Final answer
    x = 7,048.49

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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.