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Finding the Fourth Proportional to 9,728.94, 13,420.13 and 6,137.55

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Solution

The fourth proportional to 9,728.94, 13,420.13 and 6,137.55 is: 8,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.94 : 13,420.13 = 6,137.55 : x
  2. Step 2: Convert to fraction form
    9,728.94/13,420.13 = 6,137.55/x
  3. Step 3: Cross multiply
    9,728.94x = 13,420.13 × 6,137.55
  4. Step 4: Simplify right side
    9,728.94x = 82,366,688.19
  5. Step 5: Solve for x
    x = 82,366,688.19/9,728.94
  6. Step 6: Final answer
    x = 8,466.15

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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.