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Finding the Fourth Proportional to 9,284.70, 12,807.27 and 6,141.90

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Solution

The fourth proportional to 9,284.70, 12,807.27 and 6,141.90 is: 8,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.70 : 12,807.27 = 6,141.90 : x
  2. Step 2: Convert to fraction form
    9,284.70/12,807.27 = 6,141.90/x
  3. Step 3: Cross multiply
    9,284.70x = 12,807.27 × 6,141.90
  4. Step 4: Simplify right side
    9,284.70x = 78,660,971.61
  5. Step 5: Solve for x
    x = 78,660,971.61/9,284.70
  6. Step 6: Final answer
    x = 8,472.11

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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.