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Finding the Fourth Proportional to 9,509.64, 13,123.26 and 5,317.92

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Solution

The fourth proportional to 9,509.64, 13,123.26 and 5,317.92 is: 7,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.64 : 13,123.26 = 5,317.92 : x
  2. Step 2: Convert to fraction form
    9,509.64/13,123.26 = 5,317.92/x
  3. Step 3: Cross multiply
    9,509.64x = 13,123.26 × 5,317.92
  4. Step 4: Simplify right side
    9,509.64x = 69,788,446.82
  5. Step 5: Solve for x
    x = 69,788,446.82/9,509.64
  6. Step 6: Final answer
    x = 7,338.71

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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.