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Finding the Fourth Proportional to 7,214.99, 9,956.88 and 4,071.38

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Solution

The fourth proportional to 7,214.99, 9,956.88 and 4,071.38 is: 5,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.99 : 9,956.88 = 4,071.38 : x
  2. Step 2: Convert to fraction form
    7,214.99/9,956.88 = 4,071.38/x
  3. Step 3: Cross multiply
    7,214.99x = 9,956.88 × 4,071.38
  4. Step 4: Simplify right side
    7,214.99x = 40,538,192.31
  5. Step 5: Solve for x
    x = 40,538,192.31/7,214.99
  6. Step 6: Final answer
    x = 5,618.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.