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Finding the Fourth Proportional to 9,214.08, 13,816.64 and 3,056

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Solution

The fourth proportional to 9,214.08, 13,816.64 and 3,056 is: 4,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.08 : 13,816.64 = 3,056 : x
  2. Step 2: Convert to fraction form
    9,214.08/13,816.64 = 3,056/x
  3. Step 3: Cross multiply
    9,214.08x = 13,816.64 × 3,056
  4. Step 4: Simplify right side
    9,214.08x = 42,223,651.84
  5. Step 5: Solve for x
    x = 42,223,651.84/9,214.08
  6. Step 6: Final answer
    x = 4,582.51

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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.