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Finding the Fourth Proportional to 9,214.60, 12,716.16 and 5,022.85

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Solution

The fourth proportional to 9,214.60, 12,716.16 and 5,022.85 is: 6,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.60 : 12,716.16 = 5,022.85 : x
  2. Step 2: Convert to fraction form
    9,214.60/12,716.16 = 5,022.85/x
  3. Step 3: Cross multiply
    9,214.60x = 12,716.16 × 5,022.85
  4. Step 4: Simplify right side
    9,214.60x = 63,871,364.26
  5. Step 5: Solve for x
    x = 63,871,364.26/9,214.60
  6. Step 6: Final answer
    x = 6,931.54

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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.