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Finding the Fourth Proportional to 6,401.20, 9,592.06 and 4,750

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Solution

The fourth proportional to 6,401.20, 9,592.06 and 4,750 is: 7,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.20 : 9,592.06 = 4,750 : x
  2. Step 2: Convert to fraction form
    6,401.20/9,592.06 = 4,750/x
  3. Step 3: Cross multiply
    6,401.20x = 9,592.06 × 4,750
  4. Step 4: Simplify right side
    6,401.20x = 45,562,285
  5. Step 5: Solve for x
    x = 45,562,285/6,401.20
  6. Step 6: Final answer
    x = 7,117.77

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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.