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Finding the Fourth Proportional to 9,913.54, 13,680.21 and 5,436.46

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Solution

The fourth proportional to 9,913.54, 13,680.21 and 5,436.46 is: 7,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.54 : 13,680.21 = 5,436.46 : x
  2. Step 2: Convert to fraction form
    9,913.54/13,680.21 = 5,436.46/x
  3. Step 3: Cross multiply
    9,913.54x = 13,680.21 × 5,436.46
  4. Step 4: Simplify right side
    9,913.54x = 74,371,914.46
  5. Step 5: Solve for x
    x = 74,371,914.46/9,913.54
  6. Step 6: Final answer
    x = 7,502.05

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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.