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Finding the Fourth Proportional to 9,813.79, 13,545.51 and 5,567.38

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Solution

The fourth proportional to 9,813.79, 13,545.51 and 5,567.38 is: 7,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.79 : 13,545.51 = 5,567.38 : x
  2. Step 2: Convert to fraction form
    9,813.79/13,545.51 = 5,567.38/x
  3. Step 3: Cross multiply
    9,813.79x = 13,545.51 × 5,567.38
  4. Step 4: Simplify right side
    9,813.79x = 75,413,018.40
  5. Step 5: Solve for x
    x = 75,413,018.40/9,813.79
  6. Step 6: Final answer
    x = 7,684.39

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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.