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Finding the Fourth Proportional to 9,964.60, 14,945.92 and 3,390.69

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Solution

The fourth proportional to 9,964.60, 14,945.92 and 3,390.69 is: 5,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.60 : 14,945.92 = 3,390.69 : x
  2. Step 2: Convert to fraction form
    9,964.60/14,945.92 = 3,390.69/x
  3. Step 3: Cross multiply
    9,964.60x = 14,945.92 × 3,390.69
  4. Step 4: Simplify right side
    9,964.60x = 50,677,029.06
  5. Step 5: Solve for x
    x = 50,677,029.06/9,964.60
  6. Step 6: Final answer
    x = 5,085.70

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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.