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Finding the Fourth Proportional to 9,353.02, 14,026.74 and 7,705.48

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Solution

The fourth proportional to 9,353.02, 14,026.74 and 7,705.48 is: 11,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.02 : 14,026.74 = 7,705.48 : x
  2. Step 2: Convert to fraction form
    9,353.02/14,026.74 = 7,705.48/x
  3. Step 3: Cross multiply
    9,353.02x = 14,026.74 × 7,705.48
  4. Step 4: Simplify right side
    9,353.02x = 108,082,764.54
  5. Step 5: Solve for x
    x = 108,082,764.54/9,353.02
  6. Step 6: Final answer
    x = 11,555.92

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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.