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Finding the Fourth Proportional to 6,284.06, 9,457.60 and 4,732.10

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Solution

The fourth proportional to 6,284.06, 9,457.60 and 4,732.10 is: 7,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.06 : 9,457.60 = 4,732.10 : x
  2. Step 2: Convert to fraction form
    6,284.06/9,457.60 = 4,732.10/x
  3. Step 3: Cross multiply
    6,284.06x = 9,457.60 × 4,732.10
  4. Step 4: Simplify right side
    6,284.06x = 44,754,308.96
  5. Step 5: Solve for x
    x = 44,754,308.96/6,284.06
  6. Step 6: Final answer
    x = 7,121.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.