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Finding the Fourth Proportional to 9,659.24, 14,456.04 and 7,477.70

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Solution

The fourth proportional to 9,659.24, 14,456.04 and 7,477.70 is: 11,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.24 : 14,456.04 = 7,477.70 : x
  2. Step 2: Convert to fraction form
    9,659.24/14,456.04 = 7,477.70/x
  3. Step 3: Cross multiply
    9,659.24x = 14,456.04 × 7,477.70
  4. Step 4: Simplify right side
    9,659.24x = 108,097,930.31
  5. Step 5: Solve for x
    x = 108,097,930.31/9,659.24
  6. Step 6: Final answer
    x = 11,191.14

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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.