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Finding the Fourth Proportional to 9,646.14, 13,314.66 and 5,614.17

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Solution

The fourth proportional to 9,646.14, 13,314.66 and 5,614.17 is: 7,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.14 : 13,314.66 = 5,614.17 : x
  2. Step 2: Convert to fraction form
    9,646.14/13,314.66 = 5,614.17/x
  3. Step 3: Cross multiply
    9,646.14x = 13,314.66 × 5,614.17
  4. Step 4: Simplify right side
    9,646.14x = 74,750,764.73
  5. Step 5: Solve for x
    x = 74,750,764.73/9,646.14
  6. Step 6: Final answer
    x = 7,749.29

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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.