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Finding the Fourth Proportional to 7,214.94, 9,956.54 and 4,071.14

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Solution

The fourth proportional to 7,214.94, 9,956.54 and 4,071.14 is: 5,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.94 : 9,956.54 = 4,071.14 : x
  2. Step 2: Convert to fraction form
    7,214.94/9,956.54 = 4,071.14/x
  3. Step 3: Cross multiply
    7,214.94x = 9,956.54 × 4,071.14
  4. Step 4: Simplify right side
    7,214.94x = 40,534,468.26
  5. Step 5: Solve for x
    x = 40,534,468.26/7,214.94
  6. Step 6: Final answer
    x = 5,618.13

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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.