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Finding the Fourth Proportional to 6,724.67, 9,275.45 and 6,166.98

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Solution

The fourth proportional to 6,724.67, 9,275.45 and 6,166.98 is: 8,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.67 : 9,275.45 = 6,166.98 : x
  2. Step 2: Convert to fraction form
    6,724.67/9,275.45 = 6,166.98/x
  3. Step 3: Cross multiply
    6,724.67x = 9,275.45 × 6,166.98
  4. Step 4: Simplify right side
    6,724.67x = 57,201,483.81
  5. Step 5: Solve for x
    x = 57,201,483.81/6,724.67
  6. Step 6: Final answer
    x = 8,506.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.