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Finding the Fourth Proportional to 11,647.14, 16,070.42 and 9,766.32

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Solution

The fourth proportional to 11,647.14, 16,070.42 and 9,766.32 is: 13,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.14 : 16,070.42 = 9,766.32 : x
  2. Step 2: Convert to fraction form
    11,647.14/16,070.42 = 9,766.32/x
  3. Step 3: Cross multiply
    11,647.14x = 16,070.42 × 9,766.32
  4. Step 4: Simplify right side
    11,647.14x = 156,948,864.25
  5. Step 5: Solve for x
    x = 156,948,864.25/11,647.14
  6. Step 6: Final answer
    x = 13,475.31

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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.