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Finding the Fourth Proportional to 9,334.28, 12,897.69 and 7,461.34

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Solution

The fourth proportional to 9,334.28, 12,897.69 and 7,461.34 is: 10,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.28 : 12,897.69 = 7,461.34 : x
  2. Step 2: Convert to fraction form
    9,334.28/12,897.69 = 7,461.34/x
  3. Step 3: Cross multiply
    9,334.28x = 12,897.69 × 7,461.34
  4. Step 4: Simplify right side
    9,334.28x = 96,234,050.30
  5. Step 5: Solve for x
    x = 96,234,050.30/9,334.28
  6. Step 6: Final answer
    x = 10,309.75

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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.