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Finding the Fourth Proportional to 6,533.10, 9,782.25 and 4,457.16

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Solution

The fourth proportional to 6,533.10, 9,782.25 and 4,457.16 is: 6,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.10 : 9,782.25 = 4,457.16 : x
  2. Step 2: Convert to fraction form
    6,533.10/9,782.25 = 4,457.16/x
  3. Step 3: Cross multiply
    6,533.10x = 9,782.25 × 4,457.16
  4. Step 4: Simplify right side
    6,533.10x = 43,601,053.41
  5. Step 5: Solve for x
    x = 43,601,053.41/6,533.10
  6. Step 6: Final answer
    x = 6,673.87

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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.