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Finding the Fourth Proportional to 6,300.53, 9,457.24 and 5,201.40

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Solution

The fourth proportional to 6,300.53, 9,457.24 and 5,201.40 is: 7,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.53 : 9,457.24 = 5,201.40 : x
  2. Step 2: Convert to fraction form
    6,300.53/9,457.24 = 5,201.40/x
  3. Step 3: Cross multiply
    6,300.53x = 9,457.24 × 5,201.40
  4. Step 4: Simplify right side
    6,300.53x = 49,190,867.15
  5. Step 5: Solve for x
    x = 49,190,867.15/6,300.53
  6. Step 6: Final answer
    x = 7,807.41

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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.