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Finding the Fourth Proportional to 9,157.60, 13,730.28 and 4,220.56

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Solution

The fourth proportional to 9,157.60, 13,730.28 and 4,220.56 is: 6,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.60 : 13,730.28 = 4,220.56 : x
  2. Step 2: Convert to fraction form
    9,157.60/13,730.28 = 4,220.56/x
  3. Step 3: Cross multiply
    9,157.60x = 13,730.28 × 4,220.56
  4. Step 4: Simplify right side
    9,157.60x = 57,949,470.56
  5. Step 5: Solve for x
    x = 57,949,470.56/9,157.60
  6. Step 6: Final answer
    x = 6,328.02

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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.