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Finding the Fourth Proportional to 9,916.65, 13,684.86 and 5,440.44

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Solution

The fourth proportional to 9,916.65, 13,684.86 and 5,440.44 is: 7,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.65 : 13,684.86 = 5,440.44 : x
  2. Step 2: Convert to fraction form
    9,916.65/13,684.86 = 5,440.44/x
  3. Step 3: Cross multiply
    9,916.65x = 13,684.86 × 5,440.44
  4. Step 4: Simplify right side
    9,916.65x = 74,451,659.74
  5. Step 5: Solve for x
    x = 74,451,659.74/9,916.65
  6. Step 6: Final answer
    x = 7,507.74

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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.