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Finding the Fourth Proportional to 6,154.70, 9,232.05 and 4,772.30

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Solution

The fourth proportional to 6,154.70, 9,232.05 and 4,772.30 is: 7,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.70 : 9,232.05 = 4,772.30 : x
  2. Step 2: Convert to fraction form
    6,154.70/9,232.05 = 4,772.30/x
  3. Step 3: Cross multiply
    6,154.70x = 9,232.05 × 4,772.30
  4. Step 4: Simplify right side
    6,154.70x = 44,058,112.22
  5. Step 5: Solve for x
    x = 44,058,112.22/6,154.70
  6. Step 6: Final answer
    x = 7,158.45

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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.