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Finding the Fourth Proportional to 6,643.40, 9,174.20 and 5,693.72

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Solution

The fourth proportional to 6,643.40, 9,174.20 and 5,693.72 is: 7,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.40 : 9,174.20 = 5,693.72 : x
  2. Step 2: Convert to fraction form
    6,643.40/9,174.20 = 5,693.72/x
  3. Step 3: Cross multiply
    6,643.40x = 9,174.20 × 5,693.72
  4. Step 4: Simplify right side
    6,643.40x = 52,235,326.02
  5. Step 5: Solve for x
    x = 52,235,326.02/6,643.40
  6. Step 6: Final answer
    x = 7,862.74

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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.