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Finding the Fourth Proportional to 6,386.88, 9,566.40 and 3,459

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Solution

The fourth proportional to 6,386.88, 9,566.40 and 3,459 is: 5,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.88 : 9,566.40 = 3,459 : x
  2. Step 2: Convert to fraction form
    6,386.88/9,566.40 = 3,459/x
  3. Step 3: Cross multiply
    6,386.88x = 9,566.40 × 3,459
  4. Step 4: Simplify right side
    6,386.88x = 33,090,177.60
  5. Step 5: Solve for x
    x = 33,090,177.60/6,386.88
  6. Step 6: Final answer
    x = 5,180.96

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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.