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Finding the Fourth Proportional to 9,401.76, 12,944.76 and 7,156.44

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Solution

The fourth proportional to 9,401.76, 12,944.76 and 7,156.44 is: 9,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.76 : 12,944.76 = 7,156.44 : x
  2. Step 2: Convert to fraction form
    9,401.76/12,944.76 = 7,156.44/x
  3. Step 3: Cross multiply
    9,401.76x = 12,944.76 × 7,156.44
  4. Step 4: Simplify right side
    9,401.76x = 92,638,398.25
  5. Step 5: Solve for x
    x = 92,638,398.25/9,401.76
  6. Step 6: Final answer
    x = 9,853.30

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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.