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Finding the Fourth Proportional to 9,505.38, 14,258.34 and 7,340.52

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Solution

The fourth proportional to 9,505.38, 14,258.34 and 7,340.52 is: 11,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.38 : 14,258.34 = 7,340.52 : x
  2. Step 2: Convert to fraction form
    9,505.38/14,258.34 = 7,340.52/x
  3. Step 3: Cross multiply
    9,505.38x = 14,258.34 × 7,340.52
  4. Step 4: Simplify right side
    9,505.38x = 104,663,629.94
  5. Step 5: Solve for x
    x = 104,663,629.94/9,505.38
  6. Step 6: Final answer
    x = 11,010.99

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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.