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Finding the Fourth Proportional to 9,789.84, 13,509.81 and 5,598

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Solution

The fourth proportional to 9,789.84, 13,509.81 and 5,598 is: 7,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.84 : 13,509.81 = 5,598 : x
  2. Step 2: Convert to fraction form
    9,789.84/13,509.81 = 5,598/x
  3. Step 3: Cross multiply
    9,789.84x = 13,509.81 × 5,598
  4. Step 4: Simplify right side
    9,789.84x = 75,627,916.38
  5. Step 5: Solve for x
    x = 75,627,916.38/9,789.84
  6. Step 6: Final answer
    x = 7,725.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.