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Finding the Fourth Proportional to 9,659.35, 13,354.67 and 7,428.61

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Solution

The fourth proportional to 9,659.35, 13,354.67 and 7,428.61 is: 10,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.35 : 13,354.67 = 7,428.61 : x
  2. Step 2: Convert to fraction form
    9,659.35/13,354.67 = 7,428.61/x
  3. Step 3: Cross multiply
    9,659.35x = 13,354.67 × 7,428.61
  4. Step 4: Simplify right side
    9,659.35x = 99,206,670.37
  5. Step 5: Solve for x
    x = 99,206,670.37/9,659.35
  6. Step 6: Final answer
    x = 10,270.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.