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Finding the Fourth Proportional to 9,686.94, 13,280.91 and 9,511.98

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Solution

The fourth proportional to 9,686.94, 13,280.91 and 9,511.98 is: 13,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.94 : 13,280.91 = 9,511.98 : x
  2. Step 2: Convert to fraction form
    9,686.94/13,280.91 = 9,511.98/x
  3. Step 3: Cross multiply
    9,686.94x = 13,280.91 × 9,511.98
  4. Step 4: Simplify right side
    9,686.94x = 126,327,750.30
  5. Step 5: Solve for x
    x = 126,327,750.30/9,686.94
  6. Step 6: Final answer
    x = 13,041.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.