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Finding the Fourth Proportional to 6,923.93, 9,538.34 and 5,507.19

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Solution

The fourth proportional to 6,923.93, 9,538.34 and 5,507.19 is: 7,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.93 : 9,538.34 = 5,507.19 : x
  2. Step 2: Convert to fraction form
    6,923.93/9,538.34 = 5,507.19/x
  3. Step 3: Cross multiply
    6,923.93x = 9,538.34 × 5,507.19
  4. Step 4: Simplify right side
    6,923.93x = 52,529,402.97
  5. Step 5: Solve for x
    x = 52,529,402.97/6,923.93
  6. Step 6: Final answer
    x = 7,586.65

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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.