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Finding the Fourth Proportional to 9,509.85, 13,123.31 and 5,318.01

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Solution

The fourth proportional to 9,509.85, 13,123.31 and 5,318.01 is: 7,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.85 : 13,123.31 = 5,318.01 : x
  2. Step 2: Convert to fraction form
    9,509.85/13,123.31 = 5,318.01/x
  3. Step 3: Cross multiply
    9,509.85x = 13,123.31 × 5,318.01
  4. Step 4: Simplify right side
    9,509.85x = 69,789,867.22
  5. Step 5: Solve for x
    x = 69,789,867.22/9,509.85
  6. Step 6: Final answer
    x = 7,338.69

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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.