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Finding the Fourth Proportional to 9,857.30, 14,774.40 and 7,659.36

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Solution

The fourth proportional to 9,857.30, 14,774.40 and 7,659.36 is: 11,480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.30 : 14,774.40 = 7,659.36 : x
  2. Step 2: Convert to fraction form
    9,857.30/14,774.40 = 7,659.36/x
  3. Step 3: Cross multiply
    9,857.30x = 14,774.40 × 7,659.36
  4. Step 4: Simplify right side
    9,857.30x = 113,162,448.38
  5. Step 5: Solve for x
    x = 113,162,448.38/9,857.30
  6. Step 6: Final answer
    x = 11,480.07

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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.