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Finding the Fourth Proportional to 9,916.92, 13,684.50 and 5,440.32

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Solution

The fourth proportional to 9,916.92, 13,684.50 and 5,440.32 is: 7,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.92 : 13,684.50 = 5,440.32 : x
  2. Step 2: Convert to fraction form
    9,916.92/13,684.50 = 5,440.32/x
  3. Step 3: Cross multiply
    9,916.92x = 13,684.50 × 5,440.32
  4. Step 4: Simplify right side
    9,916.92x = 74,448,059.04
  5. Step 5: Solve for x
    x = 74,448,059.04/9,916.92
  6. Step 6: Final answer
    x = 7,507.18

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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.