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Finding the Fourth Proportional to 9,813.98, 13,543.39 and 5,337.83

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Solution

The fourth proportional to 9,813.98, 13,543.39 and 5,337.83 is: 7,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.98 : 13,543.39 = 5,337.83 : x
  2. Step 2: Convert to fraction form
    9,813.98/13,543.39 = 5,337.83/x
  3. Step 3: Cross multiply
    9,813.98x = 13,543.39 × 5,337.83
  4. Step 4: Simplify right side
    9,813.98x = 72,292,232.38
  5. Step 5: Solve for x
    x = 72,292,232.38/9,813.98
  6. Step 6: Final answer
    x = 7,366.25

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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.