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Finding the Fourth Proportional to 6,709.51, 9,257.45 and 4,021.15

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Solution

The fourth proportional to 6,709.51, 9,257.45 and 4,021.15 is: 5,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.51 : 9,257.45 = 4,021.15 : x
  2. Step 2: Convert to fraction form
    6,709.51/9,257.45 = 4,021.15/x
  3. Step 3: Cross multiply
    6,709.51x = 9,257.45 × 4,021.15
  4. Step 4: Simplify right side
    6,709.51x = 37,225,601.61
  5. Step 5: Solve for x
    x = 37,225,601.61/6,709.51
  6. Step 6: Final answer
    x = 5,548.19

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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.