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Finding the Fourth Proportional to 9,509.51, 13,123.40 and 5,202.86

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Solution

The fourth proportional to 9,509.51, 13,123.40 and 5,202.86 is: 7,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.51 : 13,123.40 = 5,202.86 : x
  2. Step 2: Convert to fraction form
    9,509.51/13,123.40 = 5,202.86/x
  3. Step 3: Cross multiply
    9,509.51x = 13,123.40 × 5,202.86
  4. Step 4: Simplify right side
    9,509.51x = 68,279,121.29
  5. Step 5: Solve for x
    x = 68,279,121.29/9,509.51
  6. Step 6: Final answer
    x = 7,180.09

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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.