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Finding the Fourth Proportional to 6,709.01, 9,261.77 and 4,192.52

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Solution

The fourth proportional to 6,709.01, 9,261.77 and 4,192.52 is: 5,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.01 : 9,261.77 = 4,192.52 : x
  2. Step 2: Convert to fraction form
    6,709.01/9,261.77 = 4,192.52/x
  3. Step 3: Cross multiply
    6,709.01x = 9,261.77 × 4,192.52
  4. Step 4: Simplify right side
    6,709.01x = 38,830,155.96
  5. Step 5: Solve for x
    x = 38,830,155.96/6,709.01
  6. Step 6: Final answer
    x = 5,787.76

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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.