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Finding the Fourth Proportional to 11,646.14, 16,069.04 and 9,765.32

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Solution

The fourth proportional to 11,646.14, 16,069.04 and 9,765.32 is: 13,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.14 : 16,069.04 = 9,765.32 : x
  2. Step 2: Convert to fraction form
    11,646.14/16,069.04 = 9,765.32/x
  3. Step 3: Cross multiply
    11,646.14x = 16,069.04 × 9,765.32
  4. Step 4: Simplify right side
    11,646.14x = 156,919,317.69
  5. Step 5: Solve for x
    x = 156,919,317.69/11,646.14
  6. Step 6: Final answer
    x = 13,473.93

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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.