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Finding the Fourth Proportional to 6,467.51, 9,701.33 and 5,177.18

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Solution

The fourth proportional to 6,467.51, 9,701.33 and 5,177.18 is: 7,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.51 : 9,701.33 = 5,177.18 : x
  2. Step 2: Convert to fraction form
    6,467.51/9,701.33 = 5,177.18/x
  3. Step 3: Cross multiply
    6,467.51x = 9,701.33 × 5,177.18
  4. Step 4: Simplify right side
    6,467.51x = 50,225,457.26
  5. Step 5: Solve for x
    x = 50,225,457.26/6,467.51
  6. Step 6: Final answer
    x = 7,765.82

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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.