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Finding the Fourth Proportional to 9,382.14, 14,066.26 and 5,683.48

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Solution

The fourth proportional to 9,382.14, 14,066.26 and 5,683.48 is: 8,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.14 : 14,066.26 = 5,683.48 : x
  2. Step 2: Convert to fraction form
    9,382.14/14,066.26 = 5,683.48/x
  3. Step 3: Cross multiply
    9,382.14x = 14,066.26 × 5,683.48
  4. Step 4: Simplify right side
    9,382.14x = 79,945,307.38
  5. Step 5: Solve for x
    x = 79,945,307.38/9,382.14
  6. Step 6: Final answer
    x = 8,521.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.