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Finding the Fourth Proportional to 9,813.80, 13,543.18 and 5,337.68

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Solution

The fourth proportional to 9,813.80, 13,543.18 and 5,337.68 is: 7,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.80 : 13,543.18 = 5,337.68 : x
  2. Step 2: Convert to fraction form
    9,813.80/13,543.18 = 5,337.68/x
  3. Step 3: Cross multiply
    9,813.80x = 13,543.18 × 5,337.68
  4. Step 4: Simplify right side
    9,813.80x = 72,289,161.02
  5. Step 5: Solve for x
    x = 72,289,161.02/9,813.80
  6. Step 6: Final answer
    x = 7,366.07

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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.