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Finding the Fourth Proportional to 9,165.76, 13,730.32 and 4,228.64

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Solution

The fourth proportional to 9,165.76, 13,730.32 and 4,228.64 is: 6,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.76 : 13,730.32 = 4,228.64 : x
  2. Step 2: Convert to fraction form
    9,165.76/13,730.32 = 4,228.64/x
  3. Step 3: Cross multiply
    9,165.76x = 13,730.32 × 4,228.64
  4. Step 4: Simplify right side
    9,165.76x = 58,060,580.36
  5. Step 5: Solve for x
    x = 58,060,580.36/9,165.76
  6. Step 6: Final answer
    x = 6,334.51

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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.