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Finding the Fourth Proportional to 6,523.96, 9,773.63 and 5,055.93

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Solution

The fourth proportional to 6,523.96, 9,773.63 and 5,055.93 is: 7,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.96 : 9,773.63 = 5,055.93 : x
  2. Step 2: Convert to fraction form
    6,523.96/9,773.63 = 5,055.93/x
  3. Step 3: Cross multiply
    6,523.96x = 9,773.63 × 5,055.93
  4. Step 4: Simplify right side
    6,523.96x = 49,414,801.77
  5. Step 5: Solve for x
    x = 49,414,801.77/6,523.96
  6. Step 6: Final answer
    x = 7,574.36

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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.