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Finding the Fourth Proportional to 9,813.50, 13,542.74 and 5,337.26

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Solution

The fourth proportional to 9,813.50, 13,542.74 and 5,337.26 is: 7,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.50 : 13,542.74 = 5,337.26 : x
  2. Step 2: Convert to fraction form
    9,813.50/13,542.74 = 5,337.26/x
  3. Step 3: Cross multiply
    9,813.50x = 13,542.74 × 5,337.26
  4. Step 4: Simplify right side
    9,813.50x = 72,281,097.81
  5. Step 5: Solve for x
    x = 72,281,097.81/9,813.50
  6. Step 6: Final answer
    x = 7,365.48

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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.