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Finding the Fourth Proportional to 9,946.69, 14,909.56 and 7,601.60

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Solution

The fourth proportional to 9,946.69, 14,909.56 and 7,601.60 is: 11,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.69 : 14,909.56 = 7,601.60 : x
  2. Step 2: Convert to fraction form
    9,946.69/14,909.56 = 7,601.60/x
  3. Step 3: Cross multiply
    9,946.69x = 14,909.56 × 7,601.60
  4. Step 4: Simplify right side
    9,946.69x = 113,336,511.30
  5. Step 5: Solve for x
    x = 113,336,511.30/9,946.69
  6. Step 6: Final answer
    x = 11,394.39

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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.