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Finding the Fourth Proportional to 8,913.41, 12,296.64 and 5,374.65

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Solution

The fourth proportional to 8,913.41, 12,296.64 and 5,374.65 is: 7,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.41 : 12,296.64 = 5,374.65 : x
  2. Step 2: Convert to fraction form
    8,913.41/12,296.64 = 5,374.65/x
  3. Step 3: Cross multiply
    8,913.41x = 12,296.64 × 5,374.65
  4. Step 4: Simplify right side
    8,913.41x = 66,090,116.02
  5. Step 5: Solve for x
    x = 66,090,116.02/8,913.41
  6. Step 6: Final answer
    x = 7,414.69

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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.