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Finding the Fourth Proportional to 9,566.48, 14,349.56 and 2,992.60

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Solution

The fourth proportional to 9,566.48, 14,349.56 and 2,992.60 is: 4,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.48 : 14,349.56 = 2,992.60 : x
  2. Step 2: Convert to fraction form
    9,566.48/14,349.56 = 2,992.60/x
  3. Step 3: Cross multiply
    9,566.48x = 14,349.56 × 2,992.60
  4. Step 4: Simplify right side
    9,566.48x = 42,942,493.26
  5. Step 5: Solve for x
    x = 42,942,493.26/9,566.48
  6. Step 6: Final answer
    x = 4,488.85

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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.