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Finding the Fourth Proportional to 9,916.22, 13,684.29 and 5,439.99

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Solution

The fourth proportional to 9,916.22, 13,684.29 and 5,439.99 is: 7,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.22 : 13,684.29 = 5,439.99 : x
  2. Step 2: Convert to fraction form
    9,916.22/13,684.29 = 5,439.99/x
  3. Step 3: Cross multiply
    9,916.22x = 13,684.29 × 5,439.99
  4. Step 4: Simplify right side
    9,916.22x = 74,442,346.81
  5. Step 5: Solve for x
    x = 74,442,346.81/9,916.22
  6. Step 6: Final answer
    x = 7,507.13

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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.