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Finding the Fourth Proportional to 6,185.46, 9,258.12 and 4,541.64

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Solution

The fourth proportional to 6,185.46, 9,258.12 and 4,541.64 is: 6,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.46 : 9,258.12 = 4,541.64 : x
  2. Step 2: Convert to fraction form
    6,185.46/9,258.12 = 4,541.64/x
  3. Step 3: Cross multiply
    6,185.46x = 9,258.12 × 4,541.64
  4. Step 4: Simplify right side
    6,185.46x = 42,047,048.12
  5. Step 5: Solve for x
    x = 42,047,048.12/6,185.46
  6. Step 6: Final answer
    x = 6,797.72

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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.