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Finding the Fourth Proportional to 6,267.40, 9,414.30 and 5,295.40

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Solution

The fourth proportional to 6,267.40, 9,414.30 and 5,295.40 is: 7,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.40 : 9,414.30 = 5,295.40 : x
  2. Step 2: Convert to fraction form
    6,267.40/9,414.30 = 5,295.40/x
  3. Step 3: Cross multiply
    6,267.40x = 9,414.30 × 5,295.40
  4. Step 4: Simplify right side
    6,267.40x = 49,852,484.22
  5. Step 5: Solve for x
    x = 49,852,484.22/6,267.40
  6. Step 6: Final answer
    x = 7,954.25

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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.