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Finding the Fourth Proportional to 9,420.98, 14,131.46 and 6,840.32

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Solution

The fourth proportional to 9,420.98, 14,131.46 and 6,840.32 is: 10,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.98 : 14,131.46 = 6,840.32 : x
  2. Step 2: Convert to fraction form
    9,420.98/14,131.46 = 6,840.32/x
  3. Step 3: Cross multiply
    9,420.98x = 14,131.46 × 6,840.32
  4. Step 4: Simplify right side
    9,420.98x = 96,663,708.47
  5. Step 5: Solve for x
    x = 96,663,708.47/9,420.98
  6. Step 6: Final answer
    x = 10,260.47

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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.