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Finding the Fourth Proportional to 9,154.96, 13,738.08 and 4,225.28

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Solution

The fourth proportional to 9,154.96, 13,738.08 and 4,225.28 is: 6,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.96 : 13,738.08 = 4,225.28 : x
  2. Step 2: Convert to fraction form
    9,154.96/13,738.08 = 4,225.28/x
  3. Step 3: Cross multiply
    9,154.96x = 13,738.08 × 4,225.28
  4. Step 4: Simplify right side
    9,154.96x = 58,047,234.66
  5. Step 5: Solve for x
    x = 58,047,234.66/9,154.96
  6. Step 6: Final answer
    x = 6,340.52

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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.