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Finding the Fourth Proportional to 9,214.22, 12,715.77 and 5,022.47

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Solution

The fourth proportional to 9,214.22, 12,715.77 and 5,022.47 is: 6,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.22 : 12,715.77 = 5,022.47 : x
  2. Step 2: Convert to fraction form
    9,214.22/12,715.77 = 5,022.47/x
  3. Step 3: Cross multiply
    9,214.22x = 12,715.77 × 5,022.47
  4. Step 4: Simplify right side
    9,214.22x = 63,864,509.77
  5. Step 5: Solve for x
    x = 63,864,509.77/9,214.22
  6. Step 6: Final answer
    x = 6,931.09

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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.