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Finding the Fourth Proportional to 9,569.42, 14,346.39 and 2,992.22

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Solution

The fourth proportional to 9,569.42, 14,346.39 and 2,992.22 is: 4,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.42 : 14,346.39 = 2,992.22 : x
  2. Step 2: Convert to fraction form
    9,569.42/14,346.39 = 2,992.22/x
  3. Step 3: Cross multiply
    9,569.42x = 14,346.39 × 2,992.22
  4. Step 4: Simplify right side
    9,569.42x = 42,927,540.12
  5. Step 5: Solve for x
    x = 42,927,540.12/9,569.42
  6. Step 6: Final answer
    x = 4,485.91

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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.