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Finding the Fourth Proportional to 8,946.49, 13,422.57 and 6,978.86

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Solution

The fourth proportional to 8,946.49, 13,422.57 and 6,978.86 is: 10,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.49 : 13,422.57 = 6,978.86 : x
  2. Step 2: Convert to fraction form
    8,946.49/13,422.57 = 6,978.86/x
  3. Step 3: Cross multiply
    8,946.49x = 13,422.57 × 6,978.86
  4. Step 4: Simplify right side
    8,946.49x = 93,674,201.98
  5. Step 5: Solve for x
    x = 93,674,201.98/8,946.49
  6. Step 6: Final answer
    x = 10,470.50

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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.