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Finding the Fourth Proportional to 6,573.81, 9,071.86 and 4,215.96

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Solution

The fourth proportional to 6,573.81, 9,071.86 and 4,215.96 is: 5,818.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.81 : 9,071.86 = 4,215.96 : x
  2. Step 2: Convert to fraction form
    6,573.81/9,071.86 = 4,215.96/x
  3. Step 3: Cross multiply
    6,573.81x = 9,071.86 × 4,215.96
  4. Step 4: Simplify right side
    6,573.81x = 38,246,570.87
  5. Step 5: Solve for x
    x = 38,246,570.87/6,573.81
  6. Step 6: Final answer
    x = 5,818.02

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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.